ADR.cpp

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#define __Pyx_PyUnicode_FormatSafe(a, b)  ((unlikely((a) == Py_None || (PyUnicode_Check(b) && !PyUnicode_CheckExact(b)))) ? PyNumber_Remainder(a, b) : PyUnicode_Format(a, b))
#if PY_MAJOR_VERSION >= 3
  #define __Pyx_PyString_Format(a, b)  PyUnicode_Format(a, b)
#else
  #define __Pyx_PyString_Format(a, b)  PyString_Format(a, b)
#endif
#if PY_MAJOR_VERSION < 3 && !defined(PyObject_ASCII)
  #define PyObject_ASCII(o)            PyObject_Repr(o)
#endif
#if PY_MAJOR_VERSION >= 3
  #define PyBaseString_Type            PyUnicode_Type
  #define PyStringObject               PyUnicodeObject
  #define PyString_Type                PyUnicode_Type
  #define PyString_Check               PyUnicode_Check
  #define PyString_CheckExact          PyUnicode_CheckExact
  #define PyObject_Unicode             PyObject_Str
#endif
#if PY_MAJOR_VERSION >= 3
  #define __Pyx_PyBaseString_Check(obj) PyUnicode_Check(obj)
  #define __Pyx_PyBaseString_CheckExact(obj) PyUnicode_CheckExact(obj)
#else
  #define __Pyx_PyBaseString_Check(obj) (PyString_Check(obj) || PyUnicode_Check(obj))
  #define __Pyx_PyBaseString_CheckExact(obj) (PyString_CheckExact(obj) || PyUnicode_CheckExact(obj))
#endif
#ifndef PySet_CheckExact
  #define PySet_CheckExact(obj)        (Py_TYPE(obj) == &PySet_Type)
#endif
#if CYTHON_ASSUME_SAFE_MACROS
  #define __Pyx_PySequence_SIZE(seq)  Py_SIZE(seq)
#else
  #define __Pyx_PySequence_SIZE(seq)  PySequence_Size(seq)
#endif
#if PY_MAJOR_VERSION >= 3
  #define PyIntObject                  PyLongObject
  #define PyInt_Type                   PyLong_Type
  #define PyInt_Check(op)              PyLong_Check(op)
  #define PyInt_CheckExact(op)         PyLong_CheckExact(op)
  #define PyInt_FromString             PyLong_FromString
  #define PyInt_FromUnicode            PyLong_FromUnicode
  #define PyInt_FromLong               PyLong_FromLong
  #define PyInt_FromSize_t             PyLong_FromSize_t
  #define PyInt_FromSsize_t            PyLong_FromSsize_t
  #define PyInt_AsLong                 PyLong_AsLong
  #define PyInt_AS_LONG                PyLong_AS_LONG
  #define PyInt_AsSsize_t              PyLong_AsSsize_t
  #define PyInt_AsUnsignedLongMask     PyLong_AsUnsignedLongMask
  #define PyInt_AsUnsignedLongLongMask PyLong_AsUnsignedLongLongMask
  #define PyNumber_Int                 PyNumber_Long
#endif
#if PY_MAJOR_VERSION >= 3
  #define PyBoolObject                 PyLongObject
#endif
#if PY_MAJOR_VERSION >= 3 && CYTHON_COMPILING_IN_PYPY
  #ifndef PyUnicode_InternFromString
    #define PyUnicode_InternFromString(s) PyUnicode_FromString(s)
  #endif
#endif
#if PY_VERSION_HEX < 0x030200A4
  typedef long Py_hash_t;
  #define __Pyx_PyInt_FromHash_t PyInt_FromLong
  #define __Pyx_PyInt_AsHash_t   PyInt_AsLong
#else
  #define __Pyx_PyInt_FromHash_t PyInt_FromSsize_t
  #define __Pyx_PyInt_AsHash_t   PyInt_AsSsize_t
#endif
#if PY_MAJOR_VERSION >= 3
  #define __Pyx_PyMethod_New(func, self, klass) ((self) ? PyMethod_New(func, self) : (Py_INCREF(func), func))
#else
  #define __Pyx_PyMethod_New(func, self, klass) PyMethod_New(func, self, klass)
#endif
#if CYTHON_USE_ASYNC_SLOTS
  #if PY_VERSION_HEX >= 0x030500B1
    #define __Pyx_PyAsyncMethodsStruct PyAsyncMethods
    #define __Pyx_PyType_AsAsync(obj) (Py_TYPE(obj)->tp_as_async)
  #else
    #define __Pyx_PyType_AsAsync(obj) ((__Pyx_PyAsyncMethodsStruct*) (Py_TYPE(obj)->tp_reserved))
  #endif
#else
  #define __Pyx_PyType_AsAsync(obj) NULL
#endif
#ifndef __Pyx_PyAsyncMethodsStruct
    typedef struct {
        unaryfunc am_await;
        unaryfunc am_aiter;
        unaryfunc am_anext;
    } __Pyx_PyAsyncMethodsStruct;
#endif
 
#if defined(WIN32) || defined(MS_WINDOWS)
  #define _USE_MATH_DEFINES
#endif
#include <math.h>
#ifdef NAN
#define __PYX_NAN() ((float) NAN)
#else
static CYTHON_INLINE float __PYX_NAN() {
  float value;
  memset(&value, 0xFF, sizeof(value));
  return value;
}
#endif
#if defined(__CYGWIN__) && defined(_LDBL_EQ_DBL)
#define __Pyx_truncl trunc
#else
#define __Pyx_truncl truncl
#endif
 
 
#define __PYX_ERR(f_index, lineno, Ln_error) \
{ \
  __pyx_filename = __pyx_f[f_index]; __pyx_lineno = lineno; __pyx_clineno = __LINE__; goto Ln_error; \
}
 
#ifndef __PYX_EXTERN_C
  #ifdef __cplusplus
    #define __PYX_EXTERN_C extern "C"
  #else
    #define __PYX_EXTERN_C extern
  #endif
#endif
 
#define __PYX_HAVE__ADR
#define __PYX_HAVE_API__ADR
/* Early includes */
#include <string.h>
#include <stdio.h>
#include "numpy/arrayobject.h"
#include "numpy/ufuncobject.h"
#include "ADR.h"
#ifdef _OPENMP
#include <omp.h>
#endif /* _OPENMP */
 
#if defined(PYREX_WITHOUT_ASSERTIONS) && !defined(CYTHON_WITHOUT_ASSERTIONS)
#define CYTHON_WITHOUT_ASSERTIONS
#endif
 
typedef struct {PyObject **p; const char *s; const Py_ssize_t n; const char* encoding;
                const char is_unicode; const char is_str; const char intern; } __Pyx_StringTabEntry;
 
#define __PYX_DEFAULT_STRING_ENCODING_IS_ASCII 0
#define __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT 0
#define __PYX_DEFAULT_STRING_ENCODING ""
#define __Pyx_PyObject_FromString __Pyx_PyBytes_FromString
#define __Pyx_PyObject_FromStringAndSize __Pyx_PyBytes_FromStringAndSize
#define __Pyx_uchar_cast(c) ((unsigned char)c)
#define __Pyx_long_cast(x) ((long)x)
#define __Pyx_fits_Py_ssize_t(v, type, is_signed)  (\
    (sizeof(type) < sizeof(Py_ssize_t))  ||\
    (sizeof(type) > sizeof(Py_ssize_t) &&\
          likely(v < (type)PY_SSIZE_T_MAX ||\
                 v == (type)PY_SSIZE_T_MAX)  &&\
          (!is_signed || likely(v > (type)PY_SSIZE_T_MIN ||\
                                v == (type)PY_SSIZE_T_MIN)))  ||\
    (sizeof(type) == sizeof(Py_ssize_t) &&\
          (is_signed || likely(v < (type)PY_SSIZE_T_MAX ||\
                               v == (type)PY_SSIZE_T_MAX)))  )
static CYTHON_INLINE int __Pyx_is_valid_index(Py_ssize_t i, Py_ssize_t limit) {
    return (size_t) i < (size_t) limit;
}
#if defined (__cplusplus) && __cplusplus >= 201103L
    #include <cstdlib>
    #define __Pyx_sst_abs(value) std::abs(value)
#elif SIZEOF_INT >= SIZEOF_SIZE_T
    #define __Pyx_sst_abs(value) abs(value)
#elif SIZEOF_LONG >= SIZEOF_SIZE_T
    #define __Pyx_sst_abs(value) labs(value)
#elif defined (_MSC_VER)
    #define __Pyx_sst_abs(value) ((Py_ssize_t)_abs64(value))
#elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L
    #define __Pyx_sst_abs(value) llabs(value)
#elif defined (__GNUC__)
    #define __Pyx_sst_abs(value) __builtin_llabs(value)
#else
    #define __Pyx_sst_abs(value) ((value<0) ? -value : value)
#endif
static CYTHON_INLINE const char* __Pyx_PyObject_AsString(PyObject*);
static CYTHON_INLINE const char* __Pyx_PyObject_AsStringAndSize(PyObject*, Py_ssize_t* length);
#define __Pyx_PyByteArray_FromString(s) PyByteArray_FromStringAndSize((const char*)s, strlen((const char*)s))
#define __Pyx_PyByteArray_FromStringAndSize(s, l) PyByteArray_FromStringAndSize((const char*)s, l)
#define __Pyx_PyBytes_FromString        PyBytes_FromString
#define __Pyx_PyBytes_FromStringAndSize PyBytes_FromStringAndSize
static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(const char*);
#if PY_MAJOR_VERSION < 3
    #define __Pyx_PyStr_FromString        __Pyx_PyBytes_FromString
    #define __Pyx_PyStr_FromStringAndSize __Pyx_PyBytes_FromStringAndSize
#else
    #define __Pyx_PyStr_FromString        __Pyx_PyUnicode_FromString
    #define __Pyx_PyStr_FromStringAndSize __Pyx_PyUnicode_FromStringAndSize
#endif
#define __Pyx_PyBytes_AsWritableString(s)     ((char*) PyBytes_AS_STRING(s))
#define __Pyx_PyBytes_AsWritableSString(s)    ((signed char*) PyBytes_AS_STRING(s))
#define __Pyx_PyBytes_AsWritableUString(s)    ((unsigned char*) PyBytes_AS_STRING(s))
#define __Pyx_PyBytes_AsString(s)     ((const char*) PyBytes_AS_STRING(s))
#define __Pyx_PyBytes_AsSString(s)    ((const signed char*) PyBytes_AS_STRING(s))
#define __Pyx_PyBytes_AsUString(s)    ((const unsigned char*) PyBytes_AS_STRING(s))
#define __Pyx_PyObject_AsWritableString(s)    ((char*) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_AsWritableSString(s)    ((signed char*) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_AsWritableUString(s)    ((unsigned char*) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_AsSString(s)    ((const signed char*) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_AsUString(s)    ((const unsigned char*) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_FromCString(s)  __Pyx_PyObject_FromString((const char*)s)
#define __Pyx_PyBytes_FromCString(s)   __Pyx_PyBytes_FromString((const char*)s)
#define __Pyx_PyByteArray_FromCString(s)   __Pyx_PyByteArray_FromString((const char*)s)
#define __Pyx_PyStr_FromCString(s)     __Pyx_PyStr_FromString((const char*)s)
#define __Pyx_PyUnicode_FromCString(s) __Pyx_PyUnicode_FromString((const char*)s)
static CYTHON_INLINE size_t __Pyx_Py_UNICODE_strlen(const Py_UNICODE *u) {
    const Py_UNICODE *u_end = u;
    while (*u_end++) ;
    return (size_t)(u_end - u - 1);
}
#define __Pyx_PyUnicode_FromUnicode(u)       PyUnicode_FromUnicode(u, __Pyx_Py_UNICODE_strlen(u))
#define __Pyx_PyUnicode_FromUnicodeAndLength PyUnicode_FromUnicode
#define __Pyx_PyUnicode_AsUnicode            PyUnicode_AsUnicode
#define __Pyx_NewRef(obj) (Py_INCREF(obj), obj)
#define __Pyx_Owned_Py_None(b) __Pyx_NewRef(Py_None)
static CYTHON_INLINE PyObject * __Pyx_PyBool_FromLong(long b);
static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject*);
static CYTHON_INLINE int __Pyx_PyObject_IsTrueAndDecref(PyObject*);
static CYTHON_INLINE PyObject* __Pyx_PyNumber_IntOrLong(PyObject* x);
#define __Pyx_PySequence_Tuple(obj)\
    (likely(PyTuple_CheckExact(obj)) ? __Pyx_NewRef(obj) : PySequence_Tuple(obj))
static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject*);
static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t);
#if CYTHON_ASSUME_SAFE_MACROS
#define __pyx_PyFloat_AsDouble(x) (PyFloat_CheckExact(x) ? PyFloat_AS_DOUBLE(x) : PyFloat_AsDouble(x))
#else
#define __pyx_PyFloat_AsDouble(x) PyFloat_AsDouble(x)
#endif
#define __pyx_PyFloat_AsFloat(x) ((float) __pyx_PyFloat_AsDouble(x))
#if PY_MAJOR_VERSION >= 3
#define __Pyx_PyNumber_Int(x) (PyLong_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Long(x))
#else
#define __Pyx_PyNumber_Int(x) (PyInt_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Int(x))
#endif
#define __Pyx_PyNumber_Float(x) (PyFloat_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Float(x))
#if PY_MAJOR_VERSION < 3 && __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
static int __Pyx_sys_getdefaultencoding_not_ascii;
static int __Pyx_init_sys_getdefaultencoding_params(void) {
    PyObject* sys;
    PyObject* default_encoding = NULL;
    PyObject* ascii_chars_u = NULL;
    PyObject* ascii_chars_b = NULL;
    const char* default_encoding_c;
    sys = PyImport_ImportModule("sys");
    if (!sys) goto bad;
    default_encoding = PyObject_CallMethod(sys, (char*) "getdefaultencoding", NULL);
    Py_DECREF(sys);
    if (!default_encoding) goto bad;
    default_encoding_c = PyBytes_AsString(default_encoding);
    if (!default_encoding_c) goto bad;
    if (strcmp(default_encoding_c, "ascii") == 0) {
        __Pyx_sys_getdefaultencoding_not_ascii = 0;
    } else {
        char ascii_chars[128];
        int c;
        for (c = 0; c < 128; c++) {
            ascii_chars[c] = c;
        }
        __Pyx_sys_getdefaultencoding_not_ascii = 1;
        ascii_chars_u = PyUnicode_DecodeASCII(ascii_chars, 128, NULL);
        if (!ascii_chars_u) goto bad;
        ascii_chars_b = PyUnicode_AsEncodedString(ascii_chars_u, default_encoding_c, NULL);
        if (!ascii_chars_b || !PyBytes_Check(ascii_chars_b) || memcmp(ascii_chars, PyBytes_AS_STRING(ascii_chars_b), 128) != 0) {
            PyErr_Format(
                PyExc_ValueError,
                "This module compiled with c_string_encoding=ascii, but default encoding '%.200s' is not a superset of ascii.",
                default_encoding_c);
            goto bad;
        }
        Py_DECREF(ascii_chars_u);
        Py_DECREF(ascii_chars_b);
    }
    Py_DECREF(default_encoding);
    return 0;
bad:
    Py_XDECREF(default_encoding);
    Py_XDECREF(ascii_chars_u);
    Py_XDECREF(ascii_chars_b);
    return -1;
}
#endif
#if __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT && PY_MAJOR_VERSION >= 3
#define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_DecodeUTF8(c_str, size, NULL)
#else
#define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_Decode(c_str, size, __PYX_DEFAULT_STRING_ENCODING, NULL)
#if __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT
static char* __PYX_DEFAULT_STRING_ENCODING;
static int __Pyx_init_sys_getdefaultencoding_params(void) {
    PyObject* sys;
    PyObject* default_encoding = NULL;
    char* default_encoding_c;
    sys = PyImport_ImportModule("sys");
    if (!sys) goto bad;
    default_encoding = PyObject_CallMethod(sys, (char*) (const char*) "getdefaultencoding", NULL);
    Py_DECREF(sys);
    if (!default_encoding) goto bad;
    default_encoding_c = PyBytes_AsString(default_encoding);
    if (!default_encoding_c) goto bad;
    __PYX_DEFAULT_STRING_ENCODING = (char*) malloc(strlen(default_encoding_c) + 1);
    if (!__PYX_DEFAULT_STRING_ENCODING) goto bad;
    strcpy(__PYX_DEFAULT_STRING_ENCODING, default_encoding_c);
    Py_DECREF(default_encoding);
    return 0;
bad:
    Py_XDECREF(default_encoding);
    return -1;
}
#endif
#endif
 
 
/* Test for GCC > 2.95 */
#if defined(__GNUC__)     && (__GNUC__ > 2 || (__GNUC__ == 2 && (__GNUC_MINOR__ > 95)))
  #define likely(x)   __builtin_expect(!!(x), 1)
  #define unlikely(x) __builtin_expect(!!(x), 0)
#else /* !__GNUC__ or GCC < 2.95 */
  #define likely(x)   (x)
  #define unlikely(x) (x)
#endif /* __GNUC__ */
static CYTHON_INLINE void __Pyx_pretend_to_initialize(void* ptr) { (void)ptr; }
 
static PyObject *__pyx_m = NULL;
static PyObject *__pyx_d;
static PyObject *__pyx_b;
static PyObject *__pyx_cython_runtime = NULL;
static PyObject *__pyx_empty_tuple;
static PyObject *__pyx_empty_bytes;
static PyObject *__pyx_empty_unicode;
static int __pyx_lineno;
static int __pyx_clineno = 0;
static const char * __pyx_cfilenm= __FILE__;
static const char *__pyx_filename;
 
/* Header.proto */
#if !defined(CYTHON_CCOMPLEX)
  #if defined(__cplusplus)
    #define CYTHON_CCOMPLEX 1
  #elif defined(_Complex_I)
    #define CYTHON_CCOMPLEX 1
  #else
    #define CYTHON_CCOMPLEX 0
  #endif
#endif
#if CYTHON_CCOMPLEX
  #ifdef __cplusplus
    #include <complex>
  #else
    #include <complex.h>
  #endif
#endif
#if CYTHON_CCOMPLEX && !defined(__cplusplus) && defined(__sun__) && defined(__GNUC__)
  #undef _Complex_I
  #define _Complex_I 1.0fj
#endif
 
 
static const char *__pyx_f[] = {
  "stringsource",
  "proteus/ADR.pyx",
  "linux/lib/python3.7/site-packages/Cython/Includes/numpy/__init__.pxd",
  "linux/lib/python3.7/site-packages/Cython/Includes/cpython/type.pxd",
};
 
/* "linux/lib/python3.7/site-packages/Cython/Includes/numpy/__init__.pxd":776
 * # in Cython to enable them only on the right systems.
 * 
 * ctypedef npy_int8       int8_t             # <<<<<<<<<<<<<<
 * ctypedef npy_int16      int16_t
 * ctypedef npy_int32      int32_t
 */
typedef npy_int8 __pyx_t_5numpy_int8_t;
 
/* "linux/lib/python3.7/site-packages/Cython/Includes/numpy/__init__.pxd":777
 * 
 * ctypedef npy_int8       int8_t
 * ctypedef npy_int16      int16_t             # <<<<<<<<<<<<<<
 * ctypedef npy_int32      int32_t
 * ctypedef npy_int64      int64_t
 */
typedef npy_int16 __pyx_t_5numpy_int16_t;
 
/* "linux/lib/python3.7/site-packages/Cython/Includes/numpy/__init__.pxd":778
 * ctypedef npy_int8       int8_t
 * ctypedef npy_int16      int16_t
 * ctypedef npy_int32      int32_t             # <<<<<<<<<<<<<<
 * ctypedef npy_int64      int64_t
 * #ctypedef npy_int96      int96_t
 */
typedef npy_int32 __pyx_t_5numpy_int32_t;
 
/* "linux/lib/python3.7/site-packages/Cython/Includes/numpy/__init__.pxd":779
 * ctypedef npy_int16      int16_t
 * ctypedef npy_int32      int32_t
 * ctypedef npy_int64      int64_t             # <<<<<<<<<<<<<<
 * #ctypedef npy_int96      int96_t
 * #ctypedef npy_int128     int128_t
 */
typedef npy_int64 __pyx_t_5numpy_int64_t;
 
/* "linux/lib/python3.7/site-packages/Cython/Includes/numpy/__init__.pxd":783
 * #ctypedef npy_int128     int128_t
 * 
 * ctypedef npy_uint8      uint8_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uint16     uint16_t
 * ctypedef npy_uint32     uint32_t
 */
typedef npy_uint8 __pyx_t_5numpy_uint8_t;
 
/* "linux/lib/python3.7/site-packages/Cython/Includes/numpy/__init__.pxd":784
 * 
 * ctypedef npy_uint8      uint8_t
 * ctypedef npy_uint16     uint16_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uint32     uint32_t
 * ctypedef npy_uint64     uint64_t
 */
typedef npy_uint16 __pyx_t_5numpy_uint16_t;
 
/* "linux/lib/python3.7/site-packages/Cython/Includes/numpy/__init__.pxd":785
 * ctypedef npy_uint8      uint8_t
 * ctypedef npy_uint16     uint16_t
 * ctypedef npy_uint32     uint32_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uint64     uint64_t
 * #ctypedef npy_uint96     uint96_t
 */
typedef npy_uint32 __pyx_t_5numpy_uint32_t;
 
/* "linux/lib/python3.7/site-packages/Cython/Includes/numpy/__init__.pxd":786
 * ctypedef npy_uint16     uint16_t
 * ctypedef npy_uint32     uint32_t
 * ctypedef npy_uint64     uint64_t             # <<<<<<<<<<<<<<
 * #ctypedef npy_uint96     uint96_t
 * #ctypedef npy_uint128    uint128_t
 */
typedef npy_uint64 __pyx_t_5numpy_uint64_t;
 
/* "linux/lib/python3.7/site-packages/Cython/Includes/numpy/__init__.pxd":790
 * #ctypedef npy_uint128    uint128_t
 * 
 * ctypedef npy_float32    float32_t             # <<<<<<<<<<<<<<
 * ctypedef npy_float64    float64_t
 * #ctypedef npy_float80    float80_t
 */
typedef npy_float32 __pyx_t_5numpy_float32_t;
 
/* "linux/lib/python3.7/site-packages/Cython/Includes/numpy/__init__.pxd":791
 * 
 * ctypedef npy_float32    float32_t
 * ctypedef npy_float64    float64_t             # <<<<<<<<<<<<<<
 * #ctypedef npy_float80    float80_t
 * #ctypedef npy_float128   float128_t
 */
typedef npy_float64 __pyx_t_5numpy_float64_t;
 
/* "linux/lib/python3.7/site-packages/Cython/Includes/numpy/__init__.pxd":800
 * # The int types are mapped a bit surprising --
 * # numpy.int corresponds to 'l' and numpy.long to 'q'
 * ctypedef npy_long       int_t             # <<<<<<<<<<<<<<
 * ctypedef npy_longlong   long_t
 * ctypedef npy_longlong   longlong_t
 */
typedef npy_long __pyx_t_5numpy_int_t;
 
/* "linux/lib/python3.7/site-packages/Cython/Includes/numpy/__init__.pxd":801
 * # numpy.int corresponds to 'l' and numpy.long to 'q'
 * ctypedef npy_long       int_t
 * ctypedef npy_longlong   long_t             # <<<<<<<<<<<<<<
 * ctypedef npy_longlong   longlong_t
 * 
 */
typedef npy_longlong __pyx_t_5numpy_long_t;
 
/* "linux/lib/python3.7/site-packages/Cython/Includes/numpy/__init__.pxd":802
 * ctypedef npy_long       int_t
 * ctypedef npy_longlong   long_t
 * ctypedef npy_longlong   longlong_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_ulong      uint_t
 */
typedef npy_longlong __pyx_t_5numpy_longlong_t;
 
/* "linux/lib/python3.7/site-packages/Cython/Includes/numpy/__init__.pxd":804
 * ctypedef npy_longlong   longlong_t
 * 
 * ctypedef npy_ulong      uint_t             # <<<<<<<<<<<<<<
 * ctypedef npy_ulonglong  ulong_t
 * ctypedef npy_ulonglong  ulonglong_t
 */
typedef npy_ulong __pyx_t_5numpy_uint_t;
 
/* "linux/lib/python3.7/site-packages/Cython/Includes/numpy/__init__.pxd":805
 * 
 * ctypedef npy_ulong      uint_t
 * ctypedef npy_ulonglong  ulong_t             # <<<<<<<<<<<<<<
 * ctypedef npy_ulonglong  ulonglong_t
 * 
 */
typedef npy_ulonglong __pyx_t_5numpy_ulong_t;
 
/* "linux/lib/python3.7/site-packages/Cython/Includes/numpy/__init__.pxd":806
 * ctypedef npy_ulong      uint_t
 * ctypedef npy_ulonglong  ulong_t
 * ctypedef npy_ulonglong  ulonglong_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_intp       intp_t
 */
typedef npy_ulonglong __pyx_t_5numpy_ulonglong_t;
 
/* "linux/lib/python3.7/site-packages/Cython/Includes/numpy/__init__.pxd":808
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typedef npy_intp __pyx_t_5numpy_intp_t;
 
/* "linux/lib/python3.7/site-packages/Cython/Includes/numpy/__init__.pxd":809
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/* "linux/lib/python3.7/site-packages/Cython/Includes/numpy/__init__.pxd":811
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/* "linux/lib/python3.7/site-packages/Cython/Includes/numpy/__init__.pxd":812
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/* "linux/lib/python3.7/site-packages/Cython/Includes/numpy/__init__.pxd":813
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/* Declarations.proto */
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struct __pyx_obj_3ADR_ADR;
 
/* "linux/lib/python3.7/site-packages/Cython/Includes/numpy/__init__.pxd":815
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/* "linux/lib/python3.7/site-packages/Cython/Includes/numpy/__init__.pxd":816
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typedef npy_cdouble __pyx_t_5numpy_cdouble_t;
 
/* "linux/lib/python3.7/site-packages/Cython/Includes/numpy/__init__.pxd":817
 * ctypedef npy_cfloat      cfloat_t
 * ctypedef npy_cdouble     cdouble_t
 * ctypedef npy_clongdouble clongdouble_t             # <<<<<<<<<<<<<<
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typedef npy_clongdouble __pyx_t_5numpy_clongdouble_t;
 
/* "linux/lib/python3.7/site-packages/Cython/Includes/numpy/__init__.pxd":819
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 * 
 * ctypedef npy_cdouble     complex_t             # <<<<<<<<<<<<<<
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 * cdef inline object PyArray_MultiIterNew1(a):
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typedef npy_cdouble __pyx_t_5numpy_complex_t;
 
/* "ADR.pyx":140
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struct __pyx_obj_3ADR_ADR {
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/* PyObjectGetAttrStr.proto */
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/* GetBuiltinName.proto */
static PyObject *__Pyx_GetBuiltinName(PyObject *name);
 
/* RaiseArgTupleInvalid.proto */
static void __Pyx_RaiseArgtupleInvalid(const char* func_name, int exact,
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/* RaiseDoubleKeywords.proto */
static void __Pyx_RaiseDoubleKeywordsError(const char* func_name, PyObject* kw_name);
 
/* ParseKeywords.proto */
static int __Pyx_ParseOptionalKeywords(PyObject *kwds, PyObject **argnames[],\
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/* ArgTypeTest.proto */
#define __Pyx_ArgTypeTest(obj, type, none_allowed, name, exact)\
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static int __Pyx__ArgTypeTest(PyObject *obj, PyTypeObject *type, const char *name, int exact);
 
/* PyFunctionFastCall.proto */
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#define __Pyx_PyFunction_FastCall(func, args, nargs)\
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static PyObject *__Pyx_PyFunction_FastCallDict(PyObject *func, PyObject **args, int nargs, PyObject *kwargs);
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#define __Pyx_PyFunction_FastCallDict(func, args, nargs, kwargs) _PyFunction_FastCallDict(func, args, nargs, kwargs)
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#define __Pyx_BUILD_ASSERT_EXPR(cond)\
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#ifndef Py_MEMBER_SIZE
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/* PyObjectCall.proto */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_Call(PyObject *func, PyObject *arg, PyObject *kw);
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#define __Pyx_PyObject_Call(func, arg, kw) PyObject_Call(func, arg, kw)
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/* PyObjectCallMethO.proto */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallMethO(PyObject *func, PyObject *arg);
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/* PyObjectCallNoArg.proto */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallNoArg(PyObject *func);
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#define __Pyx_PyObject_CallNoArg(func) __Pyx_PyObject_Call(func, __pyx_empty_tuple, NULL)
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/* PyCFunctionFastCall.proto */
#if CYTHON_FAST_PYCCALL
static CYTHON_INLINE PyObject *__Pyx_PyCFunction_FastCall(PyObject *func, PyObject **args, Py_ssize_t nargs);
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#define __Pyx_PyCFunction_FastCall(func, args, nargs)  (assert(0), NULL)
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/* PyObjectCallOneArg.proto */
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg);
 
/* RaiseTooManyValuesToUnpack.proto */
static CYTHON_INLINE void __Pyx_RaiseTooManyValuesError(Py_ssize_t expected);
 
/* RaiseNeedMoreValuesToUnpack.proto */
static CYTHON_INLINE void __Pyx_RaiseNeedMoreValuesError(Py_ssize_t index);
 
/* IterFinish.proto */
static CYTHON_INLINE int __Pyx_IterFinish(void);
 
/* UnpackItemEndCheck.proto */
static int __Pyx_IternextUnpackEndCheck(PyObject *retval, Py_ssize_t expected);
 
/* ExtTypeTest.proto */
static CYTHON_INLINE int __Pyx_TypeTest(PyObject *obj, PyTypeObject *type);
 
/* PyThreadStateGet.proto */
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_PyThreadState_declare  PyThreadState *__pyx_tstate;
#define __Pyx_PyThreadState_assign  __pyx_tstate = __Pyx_PyThreadState_Current;
#define __Pyx_PyErr_Occurred()  __pyx_tstate->curexc_type
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#define __Pyx_PyThreadState_declare
#define __Pyx_PyThreadState_assign
#define __Pyx_PyErr_Occurred()  PyErr_Occurred()
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/* PyErrFetchRestore.proto */
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_PyErr_Clear() __Pyx_ErrRestore(NULL, NULL, NULL)
#define __Pyx_ErrRestoreWithState(type, value, tb)  __Pyx_ErrRestoreInState(PyThreadState_GET(), type, value, tb)
#define __Pyx_ErrFetchWithState(type, value, tb)    __Pyx_ErrFetchInState(PyThreadState_GET(), type, value, tb)
#define __Pyx_ErrRestore(type, value, tb)  __Pyx_ErrRestoreInState(__pyx_tstate, type, value, tb)
#define __Pyx_ErrFetch(type, value, tb)    __Pyx_ErrFetchInState(__pyx_tstate, type, value, tb)
static CYTHON_INLINE void __Pyx_ErrRestoreInState(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb);
static CYTHON_INLINE void __Pyx_ErrFetchInState(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
#if CYTHON_COMPILING_IN_CPYTHON
#define __Pyx_PyErr_SetNone(exc) (Py_INCREF(exc), __Pyx_ErrRestore((exc), NULL, NULL))
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#define __Pyx_PyErr_SetNone(exc) PyErr_SetNone(exc)
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#define __Pyx_PyErr_Clear() PyErr_Clear()
#define __Pyx_PyErr_SetNone(exc) PyErr_SetNone(exc)
#define __Pyx_ErrRestoreWithState(type, value, tb)  PyErr_Restore(type, value, tb)
#define __Pyx_ErrFetchWithState(type, value, tb)  PyErr_Fetch(type, value, tb)
#define __Pyx_ErrRestoreInState(tstate, type, value, tb)  PyErr_Restore(type, value, tb)
#define __Pyx_ErrFetchInState(tstate, type, value, tb)  PyErr_Fetch(type, value, tb)
#define __Pyx_ErrRestore(type, value, tb)  PyErr_Restore(type, value, tb)
#define __Pyx_ErrFetch(type, value, tb)  PyErr_Fetch(type, value, tb)
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/* RaiseException.proto */
static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause);
 
/* GetModuleGlobalName.proto */
#if CYTHON_USE_DICT_VERSIONS
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static PyObject *__Pyx__GetModuleGlobalName(PyObject *name, PY_UINT64_T *dict_version, PyObject **dict_cached_value);
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#define __Pyx_GetModuleGlobalName(var, name)  (var) = __Pyx__GetModuleGlobalName(name)
#define __Pyx_GetModuleGlobalNameUncached(var, name)  (var) = __Pyx__GetModuleGlobalName(name)
static CYTHON_INLINE PyObject *__Pyx__GetModuleGlobalName(PyObject *name);
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/* PyObjectSetAttrStr.proto */
#if CYTHON_USE_TYPE_SLOTS
#define __Pyx_PyObject_DelAttrStr(o,n) __Pyx_PyObject_SetAttrStr(o, n, NULL)
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#define __Pyx_PyObject_DelAttrStr(o,n)   PyObject_DelAttr(o,n)
#define __Pyx_PyObject_SetAttrStr(o,n,v) PyObject_SetAttr(o,n,v)
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/* PyObjectCall2Args.proto */
static CYTHON_UNUSED PyObject* __Pyx_PyObject_Call2Args(PyObject* function, PyObject* arg1, PyObject* arg2);
 
/* ListAppend.proto */
#if CYTHON_USE_PYLIST_INTERNALS && CYTHON_ASSUME_SAFE_MACROS
static CYTHON_INLINE int __Pyx_PyList_Append(PyObject* list, PyObject* x) {
    PyListObject* L = (PyListObject*) list;
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/* PyObjectGetMethod.proto */
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/* PyObjectCallMethod1.proto */
static PyObject* __Pyx_PyObject_CallMethod1(PyObject* obj, PyObject* method_name, PyObject* arg);
 
/* append.proto */
static CYTHON_INLINE int __Pyx_PyObject_Append(PyObject* L, PyObject* x);
 
/* GetItemInt.proto */
#define __Pyx_GetItemInt(o, i, type, is_signed, to_py_func, is_list, wraparound, boundscheck)\
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    __Pyx_GetItemInt_Fast(o, (Py_ssize_t)i, is_list, wraparound, boundscheck) :\
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#define __Pyx_GetItemInt_List(o, i, type, is_signed, to_py_func, is_list, wraparound, boundscheck)\
    (__Pyx_fits_Py_ssize_t(i, type, is_signed) ?\
    __Pyx_GetItemInt_List_Fast(o, (Py_ssize_t)i, wraparound, boundscheck) :\
    (PyErr_SetString(PyExc_IndexError, "list index out of range"), (PyObject*)NULL))
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_List_Fast(PyObject *o, Py_ssize_t i,
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#define __Pyx_GetItemInt_Tuple(o, i, type, is_signed, to_py_func, is_list, wraparound, boundscheck)\
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static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Tuple_Fast(PyObject *o, Py_ssize_t i,
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static PyObject *__Pyx_GetItemInt_Generic(PyObject *o, PyObject* j);
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Fast(PyObject *o, Py_ssize_t i,
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/* ObjectGetItem.proto */
#if CYTHON_USE_TYPE_SLOTS
static CYTHON_INLINE PyObject *__Pyx_PyObject_GetItem(PyObject *obj, PyObject* key);
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#define __Pyx_PyObject_GetItem(obj, key)  PyObject_GetItem(obj, key)
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/* PyIntBinop.proto */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyInt_AddObjC(PyObject *op1, PyObject *op2, long intval, int inplace);
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#define __Pyx_PyInt_AddObjC(op1, op2, intval, inplace)\
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/* SliceObject.proto */
#define __Pyx_PyObject_DelSlice(obj, cstart, cstop, py_start, py_stop, py_slice, has_cstart, has_cstop, wraparound)\
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static CYTHON_INLINE int __Pyx_PyObject_SetSlice(
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/* ListCompAppend.proto */
#if CYTHON_USE_PYLIST_INTERNALS && CYTHON_ASSUME_SAFE_MACROS
static CYTHON_INLINE int __Pyx_ListComp_Append(PyObject* list, PyObject* x) {
    PyListObject* L = (PyListObject*) list;
    Py_ssize_t len = Py_SIZE(list);
    if (likely(L->allocated > len)) {
        Py_INCREF(x);
        PyList_SET_ITEM(list, len, x);
        Py_SIZE(list) = len+1;
        return 0;
    }
    return PyList_Append(list, x);
}
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#define __Pyx_ListComp_Append(L,x) PyList_Append(L,x)
#endif
 
/* DictGetItem.proto */
#if PY_MAJOR_VERSION >= 3 && !CYTHON_COMPILING_IN_PYPY
static PyObject *__Pyx_PyDict_GetItem(PyObject *d, PyObject* key);
#define __Pyx_PyObject_Dict_GetItem(obj, name)\
    (likely(PyDict_CheckExact(obj)) ?\
     __Pyx_PyDict_GetItem(obj, name) : PyObject_GetItem(obj, name))
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#define __Pyx_PyDict_GetItem(d, key) PyObject_GetItem(d, key)
#define __Pyx_PyObject_Dict_GetItem(obj, name)  PyObject_GetItem(obj, name)
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/* SliceObject.proto */
static CYTHON_INLINE PyObject* __Pyx_PyObject_GetSlice(
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        PyObject** py_start, PyObject** py_stop, PyObject** py_slice,
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/* Import.proto */
static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list, int level);
 
/* ImportFrom.proto */
static PyObject* __Pyx_ImportFrom(PyObject* module, PyObject* name);
 
/* IncludeStringH.proto */
#include <string.h>
 
/* BytesEquals.proto */
static CYTHON_INLINE int __Pyx_PyBytes_Equals(PyObject* s1, PyObject* s2, int equals);
 
/* UnicodeEquals.proto */
static CYTHON_INLINE int __Pyx_PyUnicode_Equals(PyObject* s1, PyObject* s2, int equals);
 
/* StrEquals.proto */
#if PY_MAJOR_VERSION >= 3
#define __Pyx_PyString_Equals __Pyx_PyUnicode_Equals
#else
#define __Pyx_PyString_Equals __Pyx_PyBytes_Equals
#endif
 
/* PyIntCompare.proto */
static CYTHON_INLINE PyObject* __Pyx_PyInt_EqObjC(PyObject *op1, PyObject *op2, long intval, long inplace);
 
/* PyObjectCallMethod0.proto */
static PyObject* __Pyx_PyObject_CallMethod0(PyObject* obj, PyObject* method_name);
 
/* RaiseNoneIterError.proto */
static CYTHON_INLINE void __Pyx_RaiseNoneNotIterableError(void);
 
/* UnpackTupleError.proto */
static void __Pyx_UnpackTupleError(PyObject *, Py_ssize_t index);
 
/* UnpackTuple2.proto */
#define __Pyx_unpack_tuple2(tuple, value1, value2, is_tuple, has_known_size, decref_tuple)\
    (likely(is_tuple || PyTuple_Check(tuple)) ?\
        (likely(has_known_size || PyTuple_GET_SIZE(tuple) == 2) ?\
            __Pyx_unpack_tuple2_exact(tuple, value1, value2, decref_tuple) :\
            (__Pyx_UnpackTupleError(tuple, 2), -1)) :\
        __Pyx_unpack_tuple2_generic(tuple, value1, value2, has_known_size, decref_tuple))
static CYTHON_INLINE int __Pyx_unpack_tuple2_exact(
    PyObject* tuple, PyObject** value1, PyObject** value2, int decref_tuple);
static int __Pyx_unpack_tuple2_generic(
    PyObject* tuple, PyObject** value1, PyObject** value2, int has_known_size, int decref_tuple);
 
/* dict_iter.proto */
static CYTHON_INLINE PyObject* __Pyx_dict_iterator(PyObject* dict, int is_dict, PyObject* method_name,
                                                   Py_ssize_t* p_orig_length, int* p_is_dict);
static CYTHON_INLINE int __Pyx_dict_iter_next(PyObject* dict_or_iter, Py_ssize_t orig_length, Py_ssize_t* ppos,
                                              PyObject** pkey, PyObject** pvalue, PyObject** pitem, int is_dict);
 
/* GetTopmostException.proto */
#if CYTHON_USE_EXC_INFO_STACK
static _PyErr_StackItem * __Pyx_PyErr_GetTopmostException(PyThreadState *tstate);
#endif
 
/* SaveResetException.proto */
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_ExceptionSave(type, value, tb)  __Pyx__ExceptionSave(__pyx_tstate, type, value, tb)
static CYTHON_INLINE void __Pyx__ExceptionSave(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
#define __Pyx_ExceptionReset(type, value, tb)  __Pyx__ExceptionReset(__pyx_tstate, type, value, tb)
static CYTHON_INLINE void __Pyx__ExceptionReset(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb);
#else
#define __Pyx_ExceptionSave(type, value, tb)   PyErr_GetExcInfo(type, value, tb)
#define __Pyx_ExceptionReset(type, value, tb)  PyErr_SetExcInfo(type, value, tb)
#endif
 
/* PyErrExceptionMatches.proto */
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_PyErr_ExceptionMatches(err) __Pyx_PyErr_ExceptionMatchesInState(__pyx_tstate, err)
static CYTHON_INLINE int __Pyx_PyErr_ExceptionMatchesInState(PyThreadState* tstate, PyObject* err);
#else
#define __Pyx_PyErr_ExceptionMatches(err)  PyErr_ExceptionMatches(err)
#endif
 
/* GetException.proto */
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_GetException(type, value, tb)  __Pyx__GetException(__pyx_tstate, type, value, tb)
static int __Pyx__GetException(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
#else
static int __Pyx_GetException(PyObject **type, PyObject **value, PyObject **tb);
#endif
 
/* PyObject_GenericGetAttrNoDict.proto */
#if CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP && PY_VERSION_HEX < 0x03070000
static CYTHON_INLINE PyObject* __Pyx_PyObject_GenericGetAttrNoDict(PyObject* obj, PyObject* attr_name);
#else
#define __Pyx_PyObject_GenericGetAttrNoDict PyObject_GenericGetAttr
#endif
 
/* PyObject_GenericGetAttr.proto */
#if CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP && PY_VERSION_HEX < 0x03070000
static PyObject* __Pyx_PyObject_GenericGetAttr(PyObject* obj, PyObject* attr_name);
#else
#define __Pyx_PyObject_GenericGetAttr PyObject_GenericGetAttr
#endif
 
/* SetupReduce.proto */
static int __Pyx_setup_reduce(PyObject* type_obj);
 
/* TypeImport.proto */
#ifndef __PYX_HAVE_RT_ImportType_proto
#define __PYX_HAVE_RT_ImportType_proto
enum __Pyx_ImportType_CheckSize {
   __Pyx_ImportType_CheckSize_Error = 0,
   __Pyx_ImportType_CheckSize_Warn = 1,
   __Pyx_ImportType_CheckSize_Ignore = 2
};
static PyTypeObject *__Pyx_ImportType(PyObject* module, const char *module_name, const char *class_name, size_t size, enum __Pyx_ImportType_CheckSize check_size);
#endif
 
/* CalculateMetaclass.proto */
static PyObject *__Pyx_CalculateMetaclass(PyTypeObject *metaclass, PyObject *bases);
 
/* FetchCommonType.proto */
static PyTypeObject* __Pyx_FetchCommonType(PyTypeObject* type);
 
/* CythonFunction.proto */
#define __Pyx_CyFunction_USED 1
#define __Pyx_CYFUNCTION_STATICMETHOD  0x01
#define __Pyx_CYFUNCTION_CLASSMETHOD   0x02
#define __Pyx_CYFUNCTION_CCLASS        0x04
#define __Pyx_CyFunction_GetClosure(f)\
    (((__pyx_CyFunctionObject *) (f))->func_closure)
#define __Pyx_CyFunction_GetClassObj(f)\
    (((__pyx_CyFunctionObject *) (f))->func_classobj)
#define __Pyx_CyFunction_Defaults(type, f)\
    ((type *)(((__pyx_CyFunctionObject *) (f))->defaults))
#define __Pyx_CyFunction_SetDefaultsGetter(f, g)\
    ((__pyx_CyFunctionObject *) (f))->defaults_getter = (g)
typedef struct {
    PyCFunctionObject func;
#if PY_VERSION_HEX < 0x030500A0
    PyObject *func_weakreflist;
#endif
    PyObject *func_dict;
    PyObject *func_name;
    PyObject *func_qualname;
    PyObject *func_doc;
    PyObject *func_globals;
    PyObject *func_code;
    PyObject *func_closure;
    PyObject *func_classobj;
    void *defaults;
    int defaults_pyobjects;
    int flags;
    PyObject *defaults_tuple;
    PyObject *defaults_kwdict;
    PyObject *(*defaults_getter)(PyObject *);
    PyObject *func_annotations;
} __pyx_CyFunctionObject;
static PyTypeObject *__pyx_CyFunctionType = 0;
#define __Pyx_CyFunction_Check(obj)  (__Pyx_TypeCheck(obj, __pyx_CyFunctionType))
#define __Pyx_CyFunction_NewEx(ml, flags, qualname, self, module, globals, code)\
    __Pyx_CyFunction_New(__pyx_CyFunctionType, ml, flags, qualname, self, module, globals, code)
static PyObject *__Pyx_CyFunction_New(PyTypeObject *, PyMethodDef *ml,
                                      int flags, PyObject* qualname,
                                      PyObject *self,
                                      PyObject *module, PyObject *globals,
                                      PyObject* code);
static CYTHON_INLINE void *__Pyx_CyFunction_InitDefaults(PyObject *m,
                                                         size_t size,
                                                         int pyobjects);
static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsTuple(PyObject *m,
                                                            PyObject *tuple);
static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsKwDict(PyObject *m,
                                                             PyObject *dict);
static CYTHON_INLINE void __Pyx_CyFunction_SetAnnotationsDict(PyObject *m,
                                                              PyObject *dict);
static int __pyx_CyFunction_init(void);
 
/* SetNameInClass.proto */
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030500A1
#define __Pyx_SetNameInClass(ns, name, value)\
    (likely(PyDict_CheckExact(ns)) ? _PyDict_SetItem_KnownHash(ns, name, value, ((PyASCIIObject *) name)->hash) : PyObject_SetItem(ns, name, value))
#elif CYTHON_COMPILING_IN_CPYTHON
#define __Pyx_SetNameInClass(ns, name, value)\
    (likely(PyDict_CheckExact(ns)) ? PyDict_SetItem(ns, name, value) : PyObject_SetItem(ns, name, value))
#else
#define __Pyx_SetNameInClass(ns, name, value)  PyObject_SetItem(ns, name, value)
#endif
 
/* Py3ClassCreate.proto */
static PyObject *__Pyx_Py3MetaclassPrepare(PyObject *metaclass, PyObject *bases, PyObject *name, PyObject *qualname,
                                           PyObject *mkw, PyObject *modname, PyObject *doc);
static PyObject *__Pyx_Py3ClassCreate(PyObject *metaclass, PyObject *name, PyObject *bases, PyObject *dict,
                                      PyObject *mkw, int calculate_metaclass, int allow_py2_metaclass);
 
/* CLineInTraceback.proto */
#ifdef CYTHON_CLINE_IN_TRACEBACK
#define __Pyx_CLineForTraceback(tstate, c_line)  (((CYTHON_CLINE_IN_TRACEBACK)) ? c_line : 0)
#else
static int __Pyx_CLineForTraceback(PyThreadState *tstate, int c_line);
#endif
 
/* CodeObjectCache.proto */
typedef struct {
    PyCodeObject* code_object;
    int code_line;
} __Pyx_CodeObjectCacheEntry;
struct __Pyx_CodeObjectCache {
    int count;
    int max_count;
    __Pyx_CodeObjectCacheEntry* entries;
};
static struct __Pyx_CodeObjectCache __pyx_code_cache = {0,0,NULL};
static int __pyx_bisect_code_objects(__Pyx_CodeObjectCacheEntry* entries, int count, int code_line);
static PyCodeObject *__pyx_find_code_object(int code_line);
static void __pyx_insert_code_object(int code_line, PyCodeObject* code_object);
 
/* AddTraceback.proto */
static void __Pyx_AddTraceback(const char *funcname, int c_line,
                               int py_line, const char *filename);
 
/* CIntToPy.proto */
static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(long value);
 
/* RealImag.proto */
#if CYTHON_CCOMPLEX
  #ifdef __cplusplus
    #define __Pyx_CREAL(z) ((z).real())
    #define __Pyx_CIMAG(z) ((z).imag())
  #else
    #define __Pyx_CREAL(z) (__real__(z))
    #define __Pyx_CIMAG(z) (__imag__(z))
  #endif
#else
    #define __Pyx_CREAL(z) ((z).real)
    #define __Pyx_CIMAG(z) ((z).imag)
#endif
#if defined(__cplusplus) && CYTHON_CCOMPLEX\
        && (defined(_WIN32) || defined(__clang__) || (defined(__GNUC__) && (__GNUC__ >= 5 || __GNUC__ == 4 && __GNUC_MINOR__ >= 4 )) || __cplusplus >= 201103)
    #define __Pyx_SET_CREAL(z,x) ((z).real(x))
    #define __Pyx_SET_CIMAG(z,y) ((z).imag(y))
#else
    #define __Pyx_SET_CREAL(z,x) __Pyx_CREAL(z) = (x)
    #define __Pyx_SET_CIMAG(z,y) __Pyx_CIMAG(z) = (y)
#endif
 
/* Arithmetic.proto */
#if CYTHON_CCOMPLEX
    #define __Pyx_c_eq_float(a, b)   ((a)==(b))
    #define __Pyx_c_sum_float(a, b)  ((a)+(b))
    #define __Pyx_c_diff_float(a, b) ((a)-(b))
    #define __Pyx_c_prod_float(a, b) ((a)*(b))
    #define __Pyx_c_quot_float(a, b) ((a)/(b))
    #define __Pyx_c_neg_float(a)     (-(a))
  #ifdef __cplusplus
    #define __Pyx_c_is_zero_float(z) ((z)==(float)0)
    #define __Pyx_c_conj_float(z)    (::std::conj(z))
    #if 1
        #define __Pyx_c_abs_float(z)     (::std::abs(z))
        #define __Pyx_c_pow_float(a, b)  (::std::pow(a, b))
    #endif
  #else
    #define __Pyx_c_is_zero_float(z) ((z)==0)
    #define __Pyx_c_conj_float(z)    (conjf(z))
    #if 1
        #define __Pyx_c_abs_float(z)     (cabsf(z))
        #define __Pyx_c_pow_float(a, b)  (cpowf(a, b))
    #endif
 #endif
#else
    static CYTHON_INLINE int __Pyx_c_eq_float(__pyx_t_float_complex, __pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_sum_float(__pyx_t_float_complex, __pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_diff_float(__pyx_t_float_complex, __pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_prod_float(__pyx_t_float_complex, __pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quot_float(__pyx_t_float_complex, __pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_neg_float(__pyx_t_float_complex);
    static CYTHON_INLINE int __Pyx_c_is_zero_float(__pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_conj_float(__pyx_t_float_complex);
    #if 1
        static CYTHON_INLINE float __Pyx_c_abs_float(__pyx_t_float_complex);
        static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_pow_float(__pyx_t_float_complex, __pyx_t_float_complex);
    #endif
#endif
 
/* Arithmetic.proto */
#if CYTHON_CCOMPLEX
    #define __Pyx_c_eq_double(a, b)   ((a)==(b))
    #define __Pyx_c_sum_double(a, b)  ((a)+(b))
    #define __Pyx_c_diff_double(a, b) ((a)-(b))
    #define __Pyx_c_prod_double(a, b) ((a)*(b))
    #define __Pyx_c_quot_double(a, b) ((a)/(b))
    #define __Pyx_c_neg_double(a)     (-(a))
  #ifdef __cplusplus
    #define __Pyx_c_is_zero_double(z) ((z)==(double)0)
    #define __Pyx_c_conj_double(z)    (::std::conj(z))
    #if 1
        #define __Pyx_c_abs_double(z)     (::std::abs(z))
        #define __Pyx_c_pow_double(a, b)  (::std::pow(a, b))
    #endif
  #else
    #define __Pyx_c_is_zero_double(z) ((z)==0)
    #define __Pyx_c_conj_double(z)    (conj(z))
    #if 1
        #define __Pyx_c_abs_double(z)     (cabs(z))
        #define __Pyx_c_pow_double(a, b)  (cpow(a, b))
    #endif
 #endif
#else
    static CYTHON_INLINE int __Pyx_c_eq_double(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_sum_double(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_diff_double(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_prod_double(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot_double(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_neg_double(__pyx_t_double_complex);
    static CYTHON_INLINE int __Pyx_c_is_zero_double(__pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_conj_double(__pyx_t_double_complex);
    #if 1
        static CYTHON_INLINE double __Pyx_c_abs_double(__pyx_t_double_complex);
        static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_pow_double(__pyx_t_double_complex, __pyx_t_double_complex);
    #endif
#endif
 
/* CIntToPy.proto */
static CYTHON_INLINE PyObject* __Pyx_PyInt_From_int(int value);
 
/* CIntToPy.proto */
static CYTHON_INLINE PyObject* __Pyx_PyInt_From_enum__NPY_TYPES(enum NPY_TYPES value);
 
/* CIntFromPy.proto */
static CYTHON_INLINE int __Pyx_PyInt_As_int(PyObject *);
 
/* CIntFromPy.proto */
static CYTHON_INLINE long __Pyx_PyInt_As_long(PyObject *);
 
/* FastTypeChecks.proto */
#if CYTHON_COMPILING_IN_CPYTHON
#define __Pyx_TypeCheck(obj, type) __Pyx_IsSubtype(Py_TYPE(obj), (PyTypeObject *)type)
static CYTHON_INLINE int __Pyx_IsSubtype(PyTypeObject *a, PyTypeObject *b);
static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches(PyObject *err, PyObject *type);
static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches2(PyObject *err, PyObject *type1, PyObject *type2);
#else
#define __Pyx_TypeCheck(obj, type) PyObject_TypeCheck(obj, (PyTypeObject *)type)
#define __Pyx_PyErr_GivenExceptionMatches(err, type) PyErr_GivenExceptionMatches(err, type)
#define __Pyx_PyErr_GivenExceptionMatches2(err, type1, type2) (PyErr_GivenExceptionMatches(err, type1) || PyErr_GivenExceptionMatches(err, type2))
#endif
#define __Pyx_PyException_Check(obj) __Pyx_TypeCheck(obj, PyExc_Exception)
 
/* CheckBinaryVersion.proto */
static int __Pyx_check_binary_version(void);
 
/* InitStrings.proto */
static int __Pyx_InitStrings(__Pyx_StringTabEntry *t);
 
 
/* Module declarations from 'cpython.buffer' */
 
/* Module declarations from 'libc.string' */
 
/* Module declarations from 'libc.stdio' */
 
/* Module declarations from '__builtin__' */
 
/* Module declarations from 'cpython.type' */
static PyTypeObject *__pyx_ptype_7cpython_4type_type = 0;
 
/* Module declarations from 'cpython' */
 
/* Module declarations from 'cpython.object' */
 
/* Module declarations from 'cpython.ref' */
 
/* Module declarations from 'cpython.mem' */
 
/* Module declarations from 'numpy' */
 
/* Module declarations from 'numpy' */
static PyTypeObject *__pyx_ptype_5numpy_dtype = 0;
static PyTypeObject *__pyx_ptype_5numpy_flatiter = 0;
static PyTypeObject *__pyx_ptype_5numpy_broadcast = 0;
static PyTypeObject *__pyx_ptype_5numpy_ndarray = 0;
static PyTypeObject *__pyx_ptype_5numpy_ufunc = 0;
static CYTHON_INLINE char *__pyx_f_5numpy__util_dtypestring(PyArray_Descr *, char *, char *, int *); /*proto*/
 
/* Module declarations from 'ADR' */
static PyTypeObject *__pyx_ptype_3ADR_ADR = 0;
#define __Pyx_MODULE_NAME "ADR"
extern int __pyx_module_is_main_ADR;
int __pyx_module_is_main_ADR = 0;
 
/* Implementation of 'ADR' */
static PyObject *__pyx_builtin_TypeError;
static PyObject *__pyx_builtin_range;
static PyObject *__pyx_builtin_sum;
static PyObject *__pyx_builtin_enumerate;
static PyObject *__pyx_builtin_ValueError;
static PyObject *__pyx_builtin_RuntimeError;
static PyObject *__pyx_builtin_ImportError;
static const char __pyx_k_I[] = "I";
static const char __pyx_k_a[] = "a";
static const char __pyx_k_c[] = "c";
static const char __pyx_k_d[] = "d";
static const char __pyx_k_g[] = "g";
static const char __pyx_k_i[] = "i";
static const char __pyx_k_k[] = "k";
static const char __pyx_k_m[] = "m";
static const char __pyx_k_n[] = "n";
static const char __pyx_k_q[] = "q";
static const char __pyx_k_r[] = "r";
static const char __pyx_k_t[] = "t";
static const char __pyx_k_u[] = "u";
static const char __pyx_k_x[] = "x";
static const char __pyx_k_ci[] = "ci";
static const char __pyx_k_cj[] = "cj";
static const char __pyx_k_ck[] = "ck";
static const char __pyx_k_cq[] = "cq";
static const char __pyx_k_dc[] = "dc";
static const char __pyx_k_df[] = "df";
static const char __pyx_k_nI[] = "nI";
static const char __pyx_k_nc[] = "nc";
static const char __pyx_k_nd[] = "nd";
static const char __pyx_k_sd[] = "sd";
static const char __pyx_k_ua[] = "ua";
static const char __pyx_k_vt[] = "vt";
static const char __pyx_k_ADR[] = "ADR";
static const char __pyx_k_adr[] = "adr";
static const char __pyx_k_cfl[] = "cfl";
static const char __pyx_k_dim[] = "dim";
static const char __pyx_k_doc[] = "__doc__";
static const char __pyx_k_dof[] = "dof";
static const char __pyx_k_ebN[] = "ebN";
static const char __pyx_k_ebq[] = "ebq";
static const char __pyx_k_get[] = "get";
static const char __pyx_k_l2g[] = "l2g";
static const char __pyx_k_lag[] = "lag";
static const char __pyx_k_log[] = "log";
static const char __pyx_k_max[] = "max";
static const char __pyx_k_pdb[] = "pdb";
static const char __pyx_k_phi[] = "phi";
static const char __pyx_k_psi[] = "psi";
static const char __pyx_k_q_a[] = "q_a";
static const char __pyx_k_q_r[] = "q_r";
static const char __pyx_k_q_v[] = "q_v";
static const char __pyx_k_row[] = "row";
static const char __pyx_k_sum[] = "sum";
static const char __pyx_k_u_j[] = "u_j";
static const char __pyx_k_Comm[] = "Comm";
static const char __pyx_k_Hess[] = "Hess";
static const char __pyx_k_aOfX[] = "aOfX";
static const char __pyx_k_cebq[] = "cebq";
static const char __pyx_k_comm[] = "comm";
static const char __pyx_k_copy[] = "copy";
static const char __pyx_k_data[] = "data";
static const char __pyx_k_dphi[] = "dphi";
static const char __pyx_k_ebNE[] = "ebNE";
static const char __pyx_k_ebqe[] = "ebqe";
static const char __pyx_k_fOfX[] = "fOfX";
static const char __pyx_k_fabs[] = "fabs";
static const char __pyx_k_fill[] = "fill";
static const char __pyx_k_flag[] = "flag";
static const char __pyx_k_flat[] = "flat";
static const char __pyx_k_init[] = "__init__";
static const char __pyx_k_keys[] = "keys";
static const char __pyx_k_main[] = "__main__";
static const char __pyx_k_mass[] = "mass";
static const char __pyx_k_math[] = "math";
static const char __pyx_k_mesh[] = "mesh";
static const char __pyx_k_name[] = "name";
static const char __pyx_k_self[] = "self";
static const char __pyx_k_size[] = "size";
static const char __pyx_k_stab[] = "stab";
static const char __pyx_k_step[] = "step";
static const char __pyx_k_stop[] = "stop";
static const char __pyx_k_test[] = "__test__";
static const char __pyx_k_array[] = "array";
static const char __pyx_k_cebqe[] = "cebqe";
static const char __pyx_k_class[] = "__class__";
static const char __pyx_k_dtype[] = "dtype";
static const char __pyx_k_level[] = "level";
static const char __pyx_k_numpy[] = "numpy";
static const char __pyx_k_phi_k[] = "phi_k";
static const char __pyx_k_range[] = "range";
static const char __pyx_k_shape[] = "shape";
static const char __pyx_k_start[] = "start";
static const char __pyx_k_uDict[] = "uDict";
static const char __pyx_k_u_dof[] = "u_dof";
static const char __pyx_k_u_l2g[] = "u_l2g";
static const char __pyx_k_zeros[] = "zeros";
static const char __pyx_k_CT_sge[] = "CT_sge";
static const char __pyx_k_append[] = "append";
static const char __pyx_k_arange[] = "arange";
static const char __pyx_k_dS_ref[] = "dS_ref";
static const char __pyx_k_dV_ref[] = "dV_ref";
static const char __pyx_k_dofMap[] = "dofMap";
static const char __pyx_k_ebqe_a[] = "ebqe_a";
static const char __pyx_k_ebqe_v[] = "ebqe_v";
static const char __pyx_k_grad_u[] = "grad(u)";
static const char __pyx_k_import[] = "__import__";
static const char __pyx_k_l2proj[] = "l2proj";
static const char __pyx_k_linear[] = "linear";
static const char __pyx_k_lowmem[] = "lowmem";
static const char __pyx_k_memory[] = "memory";
static const char __pyx_k_module[] = "__module__";
static const char __pyx_k_nCalls[] = "nCalls";
static const char __pyx_k_nSteps[] = "nSteps";
static const char __pyx_k_name_2[] = "__name__";
static const char __pyx_k_offset[] = "offset";
static const char __pyx_k_phi_ip[] = "phi_ip";
static const char __pyx_k_reduce[] = "__reduce__";
static const char __pyx_k_sdInfo[] = "sdInfo";
static const char __pyx_k_stride[] = "stride";
static const char __pyx_k_values[] = "values";
static const char __pyx_k_TC_base[] = "TC_base";
static const char __pyx_k_default[] = "default";
static const char __pyx_k_has_key[] = "has_key";
static const char __pyx_k_matType[] = "matType";
static const char __pyx_k_numDiff[] = "numDiff";
static const char __pyx_k_options[] = "options";
static const char __pyx_k_outFlow[] = "outFlow";
static const char __pyx_k_penalty[] = "penalty";
static const char __pyx_k_phiDict[] = "phiDict";
static const char __pyx_k_prepare[] = "__prepare__";
static const char __pyx_k_proteus[] = "proteus";
static const char __pyx_k_sc_beta[] = "sc_beta";
static const char __pyx_k_sc_uref[] = "sc_uref";
static const char __pyx_k_setFlow[] = "setFlow";
static const char __pyx_k_Archiver[] = "Archiver";
static const char __pyx_k_Jacobian[] = "Jacobian ";
static const char __pyx_k_SGE_base[] = "SGE_base";
static const char __pyx_k_constant[] = "constant";
static const char __pyx_k_evaluate[] = "evaluate";
static const char __pyx_k_femSpace[] = "femSpace";
static const char __pyx_k_getstate[] = "__getstate__";
static const char __pyx_k_grad_psi[] = "grad_psi";
static const char __pyx_k_jacobian[] = "jacobian";
static const char __pyx_k_logEvent[] = "logEvent";
static const char __pyx_k_mesh_dof[] = "mesh_dof";
static const char __pyx_k_mesh_l2g[] = "mesh_l2g";
static const char __pyx_k_nSpaceIn[] = "nSpaceIn";
static const char __pyx_k_offset_u[] = "offset_u";
static const char __pyx_k_qualname[] = "__qualname__";
static const char __pyx_k_reaction[] = "reaction";
static const char __pyx_k_sc_alpha[] = "sc_alpha";
static const char __pyx_k_setstate[] = "__setstate__";
static const char __pyx_k_stride_u[] = "stride_u";
static const char __pyx_k_timeTerm[] = "timeTerm";
static const char __pyx_k_velocity[] = "velocity";
static const char __pyx_k_Transport[] = "Transport";
static const char __pyx_k_TypeError[] = "TypeError";
static const char __pyx_k_advection[] = "advection";
static const char __pyx_k_diffusion[] = "diffusion";
static const char __pyx_k_eN_global[] = "eN_global";
static const char __pyx_k_enumerate[] = "enumerate";
static const char __pyx_k_fbcObject[] = "fbcObject";
static const char __pyx_k_getValues[] = "getValues";
static const char __pyx_k_globalMax[] = "globalMax";
static const char __pyx_k_globalSum[] = "globalSum";
static const char __pyx_k_iteritems[] = "iteritems";
static const char __pyx_k_metaclass[] = "__metaclass__";
static const char __pyx_k_mixedFlow[] = "mixedFlow";
static const char __pyx_k_nodeArray[] = "nodeArray";
static const char __pyx_k_nonlinear[] = "nonlinear";
static const char __pyx_k_potential[] = "potential";
static const char __pyx_k_psi_trace[] = "psi_trace";
static const char __pyx_k_reduce_ex[] = "__reduce_ex__";
static const char __pyx_k_testSpace[] = "testSpace";
static const char __pyx_k_LevelModel[] = "LevelModel";
static const char __pyx_k_Quadrature[] = "Quadrature";
static const char __pyx_k_ValueError[] = "ValueError";
static const char __pyx_k_XdmfWriter[] = "XdmfWriter";
static const char __pyx_k_buildUnion[] = "buildUnion";
static const char __pyx_k_components[] = "components";
static const char __pyx_k_ebq_global[] = "ebq_global";
static const char __pyx_k_inflowFlux[] = "inflowFlux";
static const char __pyx_k_normal_ref[] = "normal_ref";
static const char __pyx_k_tLast_mesh[] = "tLast_mesh";
static const char __pyx_k_u_test_ref[] = "u_test_ref";
static const char __pyx_k_useMetrics[] = "useMetrics";
static const char __pyx_k_ImportError[] = "ImportError";
static const char __pyx_k_cebq_global[] = "cebq_global";
static const char __pyx_k_defaultName[] = "defaultName";
static const char __pyx_k_ebN_element[] = "ebN_element";
static const char __pyx_k_elementMaps[] = "elementMaps";
static const char __pyx_k_estimate_mt[] = "estimate_mt";
static const char __pyx_k_getJacobian[] = "getJacobian";
static const char __pyx_k_getResidual[] = "getResidual";
static const char __pyx_k_hamiltonian[] = "hamiltonian";
static const char __pyx_k_massLumping[] = "massLumping";
static const char __pyx_k_q_numDiff_u[] = "q_numDiff_u";
static const char __pyx_k_setUnknowns[] = "setUnknowns";
static const char __pyx_k_testIsTrial[] = "testIsTrial";
static const char __pyx_k_u_trial_ref[] = "u_trial_ref";
static const char __pyx_k_Coefficients[] = "Coefficients";
static const char __pyx_k_RuntimeError[] = "RuntimeError";
static const char __pyx_k_SubgridError[] = "SubgridError";
static const char __pyx_k_coefficients[] = "coefficients";
static const char __pyx_k_ebqe_penalty[] = "ebqe_penalty";
static const char __pyx_k_movingDomain[] = "movingDomain";
static const char __pyx_k_numDiff_last[] = "numDiff_last";
static const char __pyx_k_proteus_Comm[] = "proteus.Comm";
static const char __pyx_k_MOVING_DOMAIN[] = "MOVING_DOMAIN";
static const char __pyx_k_NumericalFlux[] = "NumericalFlux";
static const char __pyx_k_adjoint_sigma[] = "adjoint_sigma";
static const char __pyx_k_cfemIntegrals[] = "cfemIntegrals";
static const char __pyx_k_csrRowIndeces[] = "csrRowIndeces";
static const char __pyx_k_diffusionDict[] = "diffusionDict";
static const char __pyx_k_ebqe_bc_u_ext[] = "ebqe_bc_u_ext";
static const char __pyx_k_internalNodes[] = "internalNodes";
static const char __pyx_k_isDOFBoundary[] = "isDOFBoundary";
static const char __pyx_k_nNodes_global[] = "nNodes_global";
static const char __pyx_k_nSpace_global[] = "nSpace_global";
static const char __pyx_k_nStepsToDelay[] = "nStepsToDelay";
static const char __pyx_k_nVDOF_element[] = "nVDOF_element";
static const char __pyx_k_numericalFlux[] = "numericalFlux";
static const char __pyx_k_penalty_power[] = "penalty_power";
static const char __pyx_k_reduce_cython[] = "__reduce_cython__";
static const char __pyx_k_stabilization[] = "stabilization";
static const char __pyx_k_stride_offset[] = "stride+offset";
static const char __pyx_k_testSpaceDict[] = "testSpaceDict";
static const char __pyx_k_variableNames[] = "variableNames";
static const char __pyx_k_CompKernelFlag[] = "CompKernelFlag";
static const char __pyx_k_ShockCapturing[] = "ShockCapturing";
static const char __pyx_k_compKernelFlag[] = "compKernelFlag";
static const char __pyx_k_elemQuadIsDict[] = "elemQuadIsDict";
static const char __pyx_k_globalJacobian[] = "globalJacobian";
static const char __pyx_k_globalResidual[] = "globalResidual";
static const char __pyx_k_grad_psi_trace[] = "grad_psi_trace";
static const char __pyx_k_initializeMesh[] = "initializeMesh";
static const char __pyx_k_mesh_trial_ref[] = "mesh_trial_ref";
static const char __pyx_k_nNodes_element[] = "nNodes_element";
static const char __pyx_k_setFromOptions[] = "setFromOptions";
static const char __pyx_k_shockCapturing[] = "shockCapturing";
static const char __pyx_k_Global_residual[] = "Global residual";
static const char __pyx_k_TimeIntegration[] = "TimeIntegration";
static const char __pyx_k_boundaryJac_ref[] = "boundaryJac_ref";
static const char __pyx_k_boundaryNormals[] = "boundaryNormals";
static const char __pyx_k_elementDiameter[] = "elementDiameter";
static const char __pyx_k_isDOFBoundary_u[] = "isDOFBoundary_u";
static const char __pyx_k_nElements_owned[] = "nElements_owned";
static const char __pyx_k_nFreeDOF_global[] = "nFreeDOF_global";
static const char __pyx_k_nNodes_internal[] = "nNodes_internal";
static const char __pyx_k_phiTrialIsTrial[] = "phiTrialIsTrial";
static const char __pyx_k_proteus_ADR_pyx[] = "proteus/ADR.pyx";
static const char __pyx_k_reactionLumping[] = "reactionLumping";
static const char __pyx_k_setstate_cython[] = "__setstate_cython__";
static const char __pyx_k_timeIntegration[] = "timeIntegration";
static const char __pyx_k_u_grad_test_ref[] = "u_grad_test_ref";
static const char __pyx_k_advectiveFlux_bc[] = "advectiveFlux_bc";
static const char __pyx_k_conservativeFlux[] = "conservativeFlux";
static const char __pyx_k_csrColumnOffsets[] = "csrColumnOffsets";
static const char __pyx_k_diffusiveFlux_bc[] = "diffusiveFlux_bc";
static const char __pyx_k_inflowBoundaryBC[] = "inflowBoundaryBC";
static const char __pyx_k_isFluxBoundary_u[] = "isFluxBoundary_u";
static const char __pyx_k_max_nDOF_element[] = "max_nDOF_element";
static const char __pyx_k_nElements_global[] = "nElements_global";
static const char __pyx_k_nFreeVDOF_global[] = "nFreeVDOF_global";
static const char __pyx_k_n_phi_ip_element[] = "n_phi_ip_element";
static const char __pyx_k_penalty_constant[] = "penalty_constant";
static const char __pyx_k_proteus_FemTools[] = "proteus.FemTools";
static const char __pyx_k_q_numDiff_u_last[] = "q_numDiff_u_last";
static const char __pyx_k_u_grad_trial_ref[] = "u_grad_trial_ref";
static const char __pyx_k_u_test_trace_ref[] = "u_test_trace_ref";
static const char __pyx_k_zeroJacobian_CSR[] = "zeroJacobian_CSR";
static const char __pyx_k_L2projectEvaluate[] = "L2projectEvaluate";
static const char __pyx_k_LevelModel___init[] = "LevelModel.__init__";
static const char __pyx_k_NonlinearEquation[] = "NonlinearEquation";
static const char __pyx_k_OneLevelTransport[] = "OneLevelTransport";
static const char __pyx_k_VOF_max_numDiff_e[] = "VOF: max numDiff %e";
static const char __pyx_k_boundaryJacobians[] = "boundaryJacobians";
static const char __pyx_k_calculateJacobian[] = "calculateJacobian";
static const char __pyx_k_calculateResidual[] = "calculateResidual";
static const char __pyx_k_csrRowIndeces_u_u[] = "csrRowIndeces_u_u";
static const char __pyx_k_elementNodesArray[] = "elementNodesArray";
static const char __pyx_k_elementQuadrature[] = "elementQuadrature";
static const char __pyx_k_getBasisValuesRef[] = "getBasisValuesRef";
static const char __pyx_k_nDOF_test_element[] = "nDOF_test_element";
static const char __pyx_k_nQuadraturePoints[] = "nQuadraturePoints";
static const char __pyx_k_nodeVelocityArray[] = "nodeVelocityArray";
static const char __pyx_k_numericalFluxType[] = "numericalFluxType";
static const char __pyx_k_proteus_Profiling[] = "proteus.Profiling";
static const char __pyx_k_proteus_Transport[] = "proteus.Transport";
static const char __pyx_k_sdInfo_u_u_colind[] = "sdInfo_u_u_colind";
static const char __pyx_k_sdInfo_u_u_rowptr[] = "sdInfo_u_u_rowptr";
static const char __pyx_k_setupFieldStrides[] = "setupFieldStrides";
static const char __pyx_k_u_trial_trace_ref[] = "u_trial_trace_ref";
static const char __pyx_k_NumericalFlux_IIPG[] = "NumericalFlux_IIPG";
static const char __pyx_k_NumericalFlux_NIPG[] = "NumericalFlux_NIPG";
static const char __pyx_k_NumericalFlux_SIPG[] = "NumericalFlux_SIPG";
static const char __pyx_k_cline_in_traceback[] = "cline_in_traceback";
static const char __pyx_k_ebqe_bc_flux_u_ext[] = "ebqe_bc_flux_u_ext";
static const char __pyx_k_internalNodesArray[] = "internalNodesArray";
static const char __pyx_k_lag_shockCapturing[] = "lag_shockCapturing";
static const char __pyx_k_localFunctionSpace[] = "localFunctionSpace";
static const char __pyx_k_nDOF_trial_element[] = "nDOF_trial_element";
static const char __pyx_k_setDirichletValues[] = "setDirichletValues";
static const char __pyx_k_updateLocal2Global[] = "updateLocal2Global";
static const char __pyx_k_useSparseDiffusion[] = "useSparseDiffusion";
static const char __pyx_k_Coefficients___init[] = "Coefficients.__init__";
static const char __pyx_k_PostProcessingTools[] = "PostProcessingTools";
static const char __pyx_k_ShockCapturing_base[] = "ShockCapturing_base";
static const char __pyx_k_SubgridError___init[] = "SubgridError.__init__";
static const char __pyx_k_calculateQuadrature[] = "calculateQuadrature";
static const char __pyx_k_csrColumnOffsets_eb[] = "csrColumnOffsets_eb";
static const char __pyx_k_dirichletConditions[] = "dirichletConditions";
static const char __pyx_k_elementIntegralKeys[] = "elementIntegralKeys";
static const char __pyx_k_initializationPhase[] = "initializationPhase";
static const char __pyx_k_mesh_grad_trial_ref[] = "mesh_grad_trial_ref";
static const char __pyx_k_nDOF_test_elementIn[] = "nDOF_test_elementIn";
static const char __pyx_k_nNonzerosInJacobian[] = "nNonzerosInJacobian";
static const char __pyx_k_TimeIntegrationClass[] = "TimeIntegrationClass";
static const char __pyx_k_conservativeFluxDict[] = "conservativeFluxDict";
static const char __pyx_k_csrColumnOffsets_u_u[] = "csrColumnOffsets_u_u";
static const char __pyx_k_dirichletNodeSetList[] = "dirichletNodeSetList";
static const char __pyx_k_forceStrongDirichlet[] = "forceStrongDirichlet";
static const char __pyx_k_getCSRrepresentation[] = "getCSRrepresentation";
static const char __pyx_k_mesh_trial_trace_ref[] = "mesh_trial_trace_ref";
static const char __pyx_k_nDOF_trial_elementIn[] = "nDOF_trial_elementIn";
static const char __pyx_k_proteus_SubgridError[] = "proteus.SubgridError";
static const char __pyx_k_shockCapturingFactor[] = "shockCapturingFactor";
static const char __pyx_k_Coefficients_evaluate[] = "Coefficients.evaluate";
static const char __pyx_k_DOFBoundaryConditions[] = "DOFBoundaryConditions";
static const char __pyx_k_ShockCapturing___init[] = "ShockCapturing.__init__";
static const char __pyx_k_advectiveFlux_bc_flag[] = "advectiveFlux_bc_flag";
static const char __pyx_k_boundaryAdjoint_sigma[] = "boundaryAdjoint_sigma";
static const char __pyx_k_calculateCoefficients[] = "calculateCoefficients";
static const char __pyx_k_calculateSubgridError[] = "calculateSubgridError";
static const char __pyx_k_diffusiveFlux_bc_flag[] = "diffusiveFlux_bc_flag";
static const char __pyx_k_elementDiametersArray[] = "elementDiametersArray";
static const char __pyx_k_elementQuadratureDict[] = "elementQuadratureDict";
static const char __pyx_k_forceStrongConditions[] = "forceStrongConditions";
static const char __pyx_k_massConservationError[] = "massConservationError";
static const char __pyx_k_u_grad_test_trace_ref[] = "u_grad_test_trace_ref";
static const char __pyx_k_velocityPostProcessor[] = "velocityPostProcessor";
static const char __pyx_k_FluxBoundaryConditions[] = "FluxBoundaryConditions";
static const char __pyx_k_LevelModel_estimate_mt[] = "LevelModel.estimate_mt";
static const char __pyx_k_LevelModel_getJacobian[] = "LevelModel.getJacobian";
static const char __pyx_k_LevelModel_getResidual[] = "LevelModel.getResidual";
static const char __pyx_k_fluxBoundaryConditions[] = "fluxBoundaryConditions";
static const char __pyx_k_getBasisValuesTraceRef[] = "getBasisValuesTraceRef";
static const char __pyx_k_nDOF_phi_trial_element[] = "nDOF_phi_trial_element";
static const char __pyx_k_proteus_ShockCapturing[] = "proteus.ShockCapturing";
static const char __pyx_k_referenceFiniteElement[] = "referenceFiniteElement";
static const char __pyx_k_sparseDiffusionTensors[] = "sparseDiffusionTensors";
static const char __pyx_k_u_grad_trial_trace_ref[] = "u_grad_trial_trace_ref";
static const char __pyx_k_velocity_postprocessor[] = "velocity postprocessor";
static const char __pyx_k_Mass_Conservation_Error[] = "   Mass Conservation Error";
static const char __pyx_k_csrColumnOffsets_eb_u_u[] = "csrColumnOffsets_eb_u_u";
static const char __pyx_k_elementQuadraturePoints[] = "elementQuadraturePoints";
static const char __pyx_k_inflowBoundaryBC_values[] = "inflowBoundaryBC_values";
static const char __pyx_k_interpolationConditions[] = "interpolationConditions";
static const char __pyx_k_shockCapturingDiffusion[] = "shockCapturingDiffusion";
static const char __pyx_k_timeVaryingCoefficients[] = "timeVaryingCoefficients";
static const char __pyx_k_weakDirichletConditions[] = "weakDirichletConditions";
static const char __pyx_k_SimplexLobattoQuadrature[] = "SimplexLobattoQuadrature";
static const char __pyx_k_elementBoundaryIntegrals[] = "elementBoundaryIntegrals";
static const char __pyx_k_elementQuadratureWeights[] = "elementQuadratureWeights";
static const char __pyx_k_nQuadraturePoints_global[] = "nQuadraturePoints_global";
static const char __pyx_k_proteus_NonlinearSolvers[] = "proteus.NonlinearSolvers";
static const char __pyx_k_stabilizationIsNonlinear[] = "stabilizationIsNonlinear";
static const char __pyx_k_NumericalFlux_IIPG___init[] = "NumericalFlux_IIPG.__init__";
static const char __pyx_k_NumericalFlux_NIPG___init[] = "NumericalFlux_NIPG.__init__";
static const char __pyx_k_NumericalFlux_SIPG___init[] = "NumericalFlux_SIPG.__init__";
static const char __pyx_k_dofBoundaryConditionsDict[] = "dofBoundaryConditionsDict";
static const char __pyx_k_elementBoundaryQuadrature[] = "elementBoundaryQuadrature";
static const char __pyx_k_getBasisGradientValuesRef[] = "getBasisGradientValuesRef";
static const char __pyx_k_initializeTimeIntegration[] = "initializeTimeIntegration";
static const char __pyx_k_isAdvectiveFluxBoundary_u[] = "isAdvectiveFluxBoundary_u";
static const char __pyx_k_mesh_grad_trial_trace_ref[] = "mesh_grad_trial_trace_ref";
static const char __pyx_k_nDOF_mesh_trial_elementIn[] = "nDOF_mesh_trial_elementIn";
static const char __pyx_k_nElementBoundaries_global[] = "nElementBoundaries_global";
static const char __pyx_k_nQuadraturePoints_element[] = "nQuadraturePoints_element";
static const char __pyx_k_updateSubgridErrorHistory[] = "updateSubgridErrorHistory";
static const char __pyx_k_usesGradientStabilization[] = "usesGradientStabilization";
static const char __pyx_k_calculateElementQuadrature[] = "calculateElementQuadrature";
static const char __pyx_k_elementInnerDiametersArray[] = "elementInnerDiametersArray";
static const char __pyx_k_fluxBoundaryConditionsDict[] = "fluxBoundaryConditionsDict";
static const char __pyx_k_nElementBoundaries_element[] = "nElementBoundaries_element";
static const char __pyx_k_useWeakDirichletConditions[] = "useWeakDirichletConditions";
static const char __pyx_k_dirichletConditionsForceDOF[] = "dirichletConditionsForceDOF";
static const char __pyx_k_ebqe_bc_advectiveFlux_u_ext[] = "ebqe_bc_advectiveFlux_u_ext";
static const char __pyx_k_elementBoundaryIntegralKeys[] = "elementBoundaryIntegralKeys";
static const char __pyx_k_initializeElementQuadrature[] = "initializeElementQuadrature";
static const char __pyx_k_nQuadraturePoints_elementIn[] = "nQuadraturePoints_elementIn";
static const char __pyx_k_ndarray_is_not_C_contiguous[] = "ndarray is not C contiguous";
static const char __pyx_k_periodicDirichletConditions[] = "periodicDirichletConditions";
static const char __pyx_k_reuse_test_trial_quadrature[] = "reuse_test_trial_quadrature";
static const char __pyx_k_updateShockCapturingHistory[] = "updateShockCapturingHistory";
static const char __pyx_k_elementBoundaryElementsArray[] = "elementBoundaryElementsArray";
static const char __pyx_k_elementQuadratureRuleIndeces[] = "elementQuadratureRuleIndeces";
static const char __pyx_k_getValuesGlobalExteriorTrace[] = "getValuesGlobalExteriorTrace";
static const char __pyx_k_integrateInterpolationPoints[] = "integrateInterpolationPoints";
static const char __pyx_k_VelocityPostProcessingChooser[] = "VelocityPostProcessingChooser";
static const char __pyx_k_calculateSolutionAtQuadrature[] = "calculateSolutionAtQuadrature";
static const char __pyx_k_elementBoundaryDiametersArray[] = "elementBoundaryDiametersArray";
static const char __pyx_k_elementBoundaryQuadratureDict[] = "elementBoundaryQuadratureDict";
static const char __pyx_k_proteus_TransportCoefficients[] = "proteus.TransportCoefficients";
static const char __pyx_k_Residual_based_shock_capturing[] = "\n    Residual-based shock capturing for ADR equations\n\n    .. inheritance-diagram:: ShockCapturing\n       :parts: 2\n    ";
static const char __pyx_k_SubgridError_approximation_for[] = "\n    SubgridError approximation for ADR equations\n\n    .. inheritance-diagram:: SubgridError\n       :parts: 2\n    ";
static const char __pyx_k_elementEffectiveDiametersArray[] = "elementEffectiveDiametersArray";
static const char __pyx_k_exteriorElementBoundariesArray[] = "exteriorElementBoundariesArray";
static const char __pyx_k_getBasisGradientValuesTraceRef[] = "getBasisGradientValuesTraceRef";
static const char __pyx_k_getPointwiseBoundaryConditions[] = "getPointwiseBoundaryConditions";
static const char __pyx_k_nonlinear_function_evaluations[] = "nonlinear_function_evaluations";
static const char __pyx_k_proteus_ctransportCoefficients[] = "proteus.ctransportCoefficients";
static const char __pyx_k_An_optimized_Advection_Diffusio[] = "\nAn optimized Advection-Diffusion-Reaction module\n";
static const char __pyx_k_Coefficients_of_linear_ADR_equa[] = "\n    Coefficients of linear ADR equations\n\n    .. inheritance-diagram:: Coefficients\n       :parts: 2\n    ";
static const char __pyx_k_Optimized_LevelModel_for_ADR_eq[] = "\n    Optimized LevelModel for ADR equations\n\n    .. inheritance-diagram:: LevelModel\n       :parts: 2\n    ";
static const char __pyx_k_dofBoundaryConditionsSetterDict[] = "dofBoundaryConditionsSetterDict";
static const char __pyx_k_elementBoundaryQuadraturePoints[] = "elementBoundaryQuadraturePoints";
static const char __pyx_k_numpy_core_multiarray_failed_to[] = "numpy.core.multiarray failed to import";
static const char __pyx_k_reuse_trial_and_test_quadrature[] = "reuse_trial_and_test_quadrature";
static const char __pyx_k_unknown_dtype_code_in_numpy_pxd[] = "unknown dtype code in numpy.pxd (%d)";
static const char __pyx_k_ADR_ShockCapturing_lagging_reque[] = "ADR.ShockCapturing: lagging requested but must lag the first step; switching lagging off and delaying";
static const char __pyx_k_ADR_ShockCapturing_switched_to_l[] = "ADR.ShockCapturing: switched to lagged shock capturing";
static const char __pyx_k_Advection_DiagonalUpwind_Diffusi[] = "Advection_DiagonalUpwind_Diffusion_IIPG_exterior";
static const char __pyx_k_Building_time_integration_object[] = "Building time integration object";
static const char __pyx_k_C0_AffineLinearOnSimplexWithNoda[] = "C0_AffineLinearOnSimplexWithNodalBasis";
static const char __pyx_k_Calculating_numerical_quadrature[] = "Calculating numerical quadrature formulas";
static const char __pyx_k_Coefficients_initializeElementBo[] = "Coefficients.initializeElementBoundaryQuadrature";
static const char __pyx_k_Coefficients_initializeElementQu[] = "Coefficients.initializeElementQuadrature";
static const char __pyx_k_Coefficients_initializeGlobalExt[] = "Coefficients.initializeGlobalExteriorElementBoundaryQuadrature";
static const char __pyx_k_Format_string_allocated_too_shor[] = "Format string allocated too short, see comment in numpy.pxd";
static const char __pyx_k_LevelModel_calculateAuxiliaryQua[] = "LevelModel.calculateAuxiliaryQuantitiesAfterStep";
static const char __pyx_k_LevelModel_calculateCoefficients[] = "LevelModel.calculateCoefficients";
static const char __pyx_k_LevelModel_calculateElementBound[] = "LevelModel.calculateElementBoundaryQuadrature";
static const char __pyx_k_LevelModel_calculateElementQuadr[] = "LevelModel.calculateElementQuadrature";
static const char __pyx_k_LevelModel_calculateExteriorElem[] = "LevelModel.calculateExteriorElementBoundaryQuadrature";
static const char __pyx_k_LevelModel_calculateSolutionAtQu[] = "LevelModel.calculateSolutionAtQuadrature";
static const char __pyx_k_Non_native_byte_order_not_suppor[] = "Non-native byte order not supported";
static const char __pyx_k_ShockCapturing_initializeElement[] = "ShockCapturing.initializeElementQuadrature";
static const char __pyx_k_ShockCapturing_updateShockCaptur[] = "ShockCapturing.updateShockCapturingHistory";
static const char __pyx_k_SubgridError_calculateSubgridErr[] = "SubgridError.calculateSubgridError";
static const char __pyx_k_SubgridError_initializeElementQu[] = "SubgridError.initializeElementQuadrature";
static const char __pyx_k_SubgridError_updateSubgridErrorH[] = "SubgridError.updateSubgridErrorHistory";
static const char __pyx_k_Updating_local_to_global_mapping[] = "Updating local to global mappings";
static const char __pyx_k_You_must_use_a_numerical_flux_to[] = "You must use a numerical flux to apply weak boundary conditions for parallel runs";
static const char __pyx_k_advectiveFluxBoundaryConditionsD[] = "advectiveFluxBoundaryConditionsDict";
static const char __pyx_k_advectiveFluxBoundaryConditionsS[] = "advectiveFluxBoundaryConditionsSetterDict";
static const char __pyx_k_calculateAuxiliaryQuantitiesAfte[] = "calculateAuxiliaryQuantitiesAfterStep";
static const char __pyx_k_calculateElementBoundaryQuadratu[] = "calculateElementBoundaryQuadrature";
static const char __pyx_k_calculateExteriorElementBoundary[] = "calculateExteriorElementBoundaryQuadrature";
static const char __pyx_k_diffusiveFluxBoundaryConditionsD[] = "diffusiveFluxBoundaryConditionsDictDict";
static const char __pyx_k_diffusiveFluxBoundaryConditionsS[] = "diffusiveFluxBoundaryConditionsSetterDictDict";
static const char __pyx_k_elementBoundaryLocalElementBound[] = "elementBoundaryLocalElementBoundariesArray";
static const char __pyx_k_elementBoundaryQuadratureDiction[] = "elementBoundaryQuadratureDictionaryWriter";
static const char __pyx_k_elementBoundaryQuadratureRuleInd[] = "elementBoundaryQuadratureRuleIndeces";
static const char __pyx_k_elementBoundaryQuadratureWeights[] = "elementBoundaryQuadratureWeights";
static const char __pyx_k_elementQuadratureDictionaryWrite[] = "elementQuadratureDictionaryWriter";
static const char __pyx_k_element_and_element_boundary_Jac[] = "element and element boundary Jacobians";
static const char __pyx_k_exteriorElementBoundaryQuadratur[] = "exteriorElementBoundaryQuadratureDictionaryWriter";
static const char __pyx_k_fluxBoundaryConditionsObjectsDic[] = "fluxBoundaryConditionsObjectsDict";
static const char __pyx_k_getAdvectiveFluxBoundaryConditio[] = "getAdvectiveFluxBoundaryConditions";
static const char __pyx_k_getDiffusiveFluxBoundaryConditio[] = "getDiffusiveFluxBoundaryConditions";
static const char __pyx_k_inflowBC_internalNodes_updateLoc[] = "inflowBC, internalNodes,updateLocal2Global";
static const char __pyx_k_initializeElementBoundaryQuadrat[] = "initializeElementBoundaryQuadrature";
static const char __pyx_k_initializeGlobalExteriorElementB[] = "initializeGlobalExteriorElementBoundaryQuadrature";
static const char __pyx_k_nElementBoundaryQuadraturePoints[] = "nElementBoundaryQuadraturePoints_elementBoundary";
static const char __pyx_k_nExteriorElementBoundaries_globa[] = "nExteriorElementBoundaries_global";
static const char __pyx_k_nQuadraturePoints_elementBoundar[] = "nQuadraturePoints_elementBoundaryIn";
static const char __pyx_k_ndarray_is_not_Fortran_contiguou[] = "ndarray is not Fortran contiguous";
static const char __pyx_k_no_default___reduce___due_to_non[] = "no default __reduce__ due to non-trivial __cinit__";
static const char __pyx_k_nonlinear_function_jacobian_eval[] = "nonlinear_function_jacobian_evaluations";
static const char __pyx_k_numpy_core_umath_failed_to_impor[] = "numpy.core.umath failed to import";
static const char __pyx_k_points_elementBoundaryQuadrature[] = "points_elementBoundaryQuadrature";
static const char __pyx_k_scalars_elementBoundaryQuadratur[] = "scalars_elementBoundaryQuadrature";
static const char __pyx_k_stressTraceBoundaryConditionsSet[] = "stressTraceBoundaryConditionsSetterDict";
static const char __pyx_k_tensors_elementBoundaryQuadratur[] = "tensors_elementBoundaryQuadrature";
static const char __pyx_k_to_reuse_test_trial_quad_all_fem[] = "to reuse_test_trial_quad all femSpaces must be the same!";
static const char __pyx_k_vectors_elementBoundaryQuadratur[] = "vectors_elementBoundaryQuadrature";
static const char __pyx_k_Advection_DiagonalUpwind_Diffusi_2[] = "Advection_DiagonalUpwind_Diffusion_SIPG_exterior";
static const char __pyx_k_Advection_DiagonalUpwind_Diffusi_3[] = "Advection_DiagonalUpwind_Diffusion_NIPG_exterior";
static const char __pyx_k_Format_string_allocated_too_shor_2[] = "Format string allocated too short.";
static const char __pyx_k_diffusiveFluxBoundaryConditionsD_2[] = "diffusiveFluxBoundaryConditionsDict";
static const char __pyx_k_nElementBoundaryQuadraturePoints_2[] = "nElementBoundaryQuadraturePoints_global";
static PyObject *__pyx_n_s_ADR;
static PyObject *__pyx_kp_s_ADR_ShockCapturing_lagging_reque;
static PyObject *__pyx_kp_s_ADR_ShockCapturing_switched_to_l;
static PyObject *__pyx_n_s_Advection_DiagonalUpwind_Diffusi;
static PyObject *__pyx_n_s_Advection_DiagonalUpwind_Diffusi_2;
static PyObject *__pyx_n_s_Advection_DiagonalUpwind_Diffusi_3;
static PyObject *__pyx_n_s_Archiver;
static PyObject *__pyx_kp_s_Building_time_integration_object;
static PyObject *__pyx_n_s_C0_AffineLinearOnSimplexWithNoda;
static PyObject *__pyx_n_s_CT_sge;
static PyObject *__pyx_kp_s_Calculating_numerical_quadrature;
static PyObject *__pyx_n_s_Coefficients;
static PyObject *__pyx_n_s_Coefficients___init;
static PyObject *__pyx_n_s_Coefficients_evaluate;
static PyObject *__pyx_n_s_Coefficients_initializeElementBo;
static PyObject *__pyx_n_s_Coefficients_initializeElementQu;
static PyObject *__pyx_n_s_Coefficients_initializeGlobalExt;
static PyObject *__pyx_kp_s_Coefficients_of_linear_ADR_equa;
static PyObject *__pyx_n_s_Comm;
static PyObject *__pyx_n_s_CompKernelFlag;
static PyObject *__pyx_n_s_DOFBoundaryConditions;
static PyObject *__pyx_n_s_FluxBoundaryConditions;
static PyObject *__pyx_kp_u_Format_string_allocated_too_shor;
static PyObject *__pyx_kp_u_Format_string_allocated_too_shor_2;
static PyObject *__pyx_kp_s_Global_residual;
static PyObject *__pyx_n_s_Hess;
static PyObject *__pyx_n_s_I;
static PyObject *__pyx_n_s_ImportError;
static PyObject *__pyx_kp_s_Jacobian;
static PyObject *__pyx_n_s_L2projectEvaluate;
static PyObject *__pyx_n_s_LevelModel;
static PyObject *__pyx_n_s_LevelModel___init;
static PyObject *__pyx_n_s_LevelModel_calculateAuxiliaryQua;
static PyObject *__pyx_n_s_LevelModel_calculateCoefficients;
static PyObject *__pyx_n_s_LevelModel_calculateElementBound;
static PyObject *__pyx_n_s_LevelModel_calculateElementQuadr;
static PyObject *__pyx_n_s_LevelModel_calculateExteriorElem;
static PyObject *__pyx_n_s_LevelModel_calculateSolutionAtQu;
static PyObject *__pyx_n_s_LevelModel_estimate_mt;
static PyObject *__pyx_n_s_LevelModel_getJacobian;
static PyObject *__pyx_n_s_LevelModel_getResidual;
static PyObject *__pyx_n_s_MOVING_DOMAIN;
static PyObject *__pyx_kp_s_Mass_Conservation_Error;
static PyObject *__pyx_kp_u_Non_native_byte_order_not_suppor;
static PyObject *__pyx_n_s_NonlinearEquation;
static PyObject *__pyx_n_s_NumericalFlux;
static PyObject *__pyx_n_s_NumericalFlux_IIPG;
static PyObject *__pyx_n_s_NumericalFlux_IIPG___init;
static PyObject *__pyx_n_s_NumericalFlux_NIPG;
static PyObject *__pyx_n_s_NumericalFlux_NIPG___init;
static PyObject *__pyx_n_s_NumericalFlux_SIPG;
static PyObject *__pyx_n_s_NumericalFlux_SIPG___init;
static PyObject *__pyx_n_s_OneLevelTransport;
static PyObject *__pyx_kp_s_Optimized_LevelModel_for_ADR_eq;
static PyObject *__pyx_n_s_PostProcessingTools;
static PyObject *__pyx_n_s_Quadrature;
static PyObject *__pyx_kp_s_Residual_based_shock_capturing;
static PyObject *__pyx_n_s_RuntimeError;
static PyObject *__pyx_n_s_SGE_base;
static PyObject *__pyx_n_s_ShockCapturing;
static PyObject *__pyx_n_s_ShockCapturing___init;
static PyObject *__pyx_n_s_ShockCapturing_base;
static PyObject *__pyx_n_s_ShockCapturing_initializeElement;
static PyObject *__pyx_n_s_ShockCapturing_updateShockCaptur;
static PyObject *__pyx_n_s_SimplexLobattoQuadrature;
static PyObject *__pyx_n_s_SubgridError;
static PyObject *__pyx_n_s_SubgridError___init;
static PyObject *__pyx_kp_s_SubgridError_approximation_for;
static PyObject *__pyx_n_s_SubgridError_calculateSubgridErr;
static PyObject *__pyx_n_s_SubgridError_initializeElementQu;
static PyObject *__pyx_n_s_SubgridError_updateSubgridErrorH;
static PyObject *__pyx_n_s_TC_base;
static PyObject *__pyx_n_s_TimeIntegration;
static PyObject *__pyx_n_s_TimeIntegrationClass;
static PyObject *__pyx_n_s_Transport;
static PyObject *__pyx_n_s_TypeError;
static PyObject *__pyx_kp_s_Updating_local_to_global_mapping;
static PyObject *__pyx_kp_s_VOF_max_numDiff_e;
static PyObject *__pyx_n_s_ValueError;
static PyObject *__pyx_n_s_VelocityPostProcessingChooser;
static PyObject *__pyx_n_s_XdmfWriter;
static PyObject *__pyx_kp_s_You_must_use_a_numerical_flux_to;
static PyObject *__pyx_n_s_a;
static PyObject *__pyx_n_s_aOfX;
static PyObject *__pyx_n_s_adjoint_sigma;
static PyObject *__pyx_n_s_adr;
static PyObject *__pyx_n_s_advection;
static PyObject *__pyx_n_s_advectiveFluxBoundaryConditionsD;
static PyObject *__pyx_n_s_advectiveFluxBoundaryConditionsS;
static PyObject *__pyx_n_s_advectiveFlux_bc;
static PyObject *__pyx_n_s_advectiveFlux_bc_flag;
static PyObject *__pyx_n_s_append;
static PyObject *__pyx_n_s_arange;
static PyObject *__pyx_n_s_array;
static PyObject *__pyx_n_s_boundaryAdjoint_sigma;
static PyObject *__pyx_n_s_boundaryJac_ref;
static PyObject *__pyx_n_s_boundaryJacobians;
static PyObject *__pyx_n_s_boundaryNormals;
static PyObject *__pyx_n_s_buildUnion;
static PyObject *__pyx_n_s_c;
static PyObject *__pyx_n_s_calculateAuxiliaryQuantitiesAfte;
static PyObject *__pyx_n_s_calculateCoefficients;
static PyObject *__pyx_n_s_calculateElementBoundaryQuadratu;
static PyObject *__pyx_n_s_calculateElementQuadrature;
static PyObject *__pyx_n_s_calculateExteriorElementBoundary;
static PyObject *__pyx_n_s_calculateJacobian;
static PyObject *__pyx_n_s_calculateQuadrature;
static PyObject *__pyx_n_s_calculateResidual;
static PyObject *__pyx_n_s_calculateSolutionAtQuadrature;
static PyObject *__pyx_n_s_calculateSubgridError;
static PyObject *__pyx_n_s_cebq;
static PyObject *__pyx_n_s_cebq_global;
static PyObject *__pyx_n_s_cebqe;
static PyObject *__pyx_n_s_cfemIntegrals;
static PyObject *__pyx_n_s_cfl;
static PyObject *__pyx_n_s_ci;
static PyObject *__pyx_n_s_cj;
static PyObject *__pyx_n_s_ck;
static PyObject *__pyx_n_s_class;
static PyObject *__pyx_n_s_cline_in_traceback;
static PyObject *__pyx_n_s_coefficients;
static PyObject *__pyx_n_s_comm;
static PyObject *__pyx_n_s_compKernelFlag;
static PyObject *__pyx_n_s_components;
static PyObject *__pyx_n_s_conservativeFlux;
static PyObject *__pyx_n_s_conservativeFluxDict;
static PyObject *__pyx_n_s_constant;
static PyObject *__pyx_n_s_copy;
static PyObject *__pyx_n_s_cq;
static PyObject *__pyx_n_s_csrColumnOffsets;
static PyObject *__pyx_n_s_csrColumnOffsets_eb;
static PyObject *__pyx_n_s_csrColumnOffsets_eb_u_u;
static PyObject *__pyx_n_s_csrColumnOffsets_u_u;
static PyObject *__pyx_n_s_csrRowIndeces;
static PyObject *__pyx_n_s_csrRowIndeces_u_u;
static PyObject *__pyx_n_s_d;
static PyObject *__pyx_n_s_dS_ref;
static PyObject *__pyx_n_s_dV_ref;
static PyObject *__pyx_n_s_data;
static PyObject *__pyx_n_s_dc;
static PyObject *__pyx_n_s_default;
static PyObject *__pyx_n_s_defaultName;
static PyObject *__pyx_n_s_df;
static PyObject *__pyx_n_s_diffusion;
static PyObject *__pyx_n_s_diffusionDict;
static PyObject *__pyx_n_s_diffusiveFluxBoundaryConditionsD;
static PyObject *__pyx_n_s_diffusiveFluxBoundaryConditionsD_2;
static PyObject *__pyx_n_s_diffusiveFluxBoundaryConditionsS;
static PyObject *__pyx_n_s_diffusiveFlux_bc;
static PyObject *__pyx_n_s_diffusiveFlux_bc_flag;
static PyObject *__pyx_n_s_dim;
static PyObject *__pyx_n_s_dirichletConditions;
static PyObject *__pyx_n_s_dirichletConditionsForceDOF;
static PyObject *__pyx_n_s_dirichletNodeSetList;
static PyObject *__pyx_n_s_doc;
static PyObject *__pyx_n_s_dof;
static PyObject *__pyx_n_s_dofBoundaryConditionsDict;
static PyObject *__pyx_n_s_dofBoundaryConditionsSetterDict;
static PyObject *__pyx_n_s_dofMap;
static PyObject *__pyx_n_s_dphi;
static PyObject *__pyx_n_s_dtype;
static PyObject *__pyx_n_s_eN_global;
static PyObject *__pyx_n_s_ebN;
static PyObject *__pyx_n_s_ebNE;
static PyObject *__pyx_n_s_ebN_element;
static PyObject *__pyx_n_s_ebq;
static PyObject *__pyx_n_s_ebq_global;
static PyObject *__pyx_n_s_ebqe;
static PyObject *__pyx_n_s_ebqe_a;
static PyObject *__pyx_n_s_ebqe_bc_advectiveFlux_u_ext;
static PyObject *__pyx_n_s_ebqe_bc_flux_u_ext;
static PyObject *__pyx_n_s_ebqe_bc_u_ext;
static PyObject *__pyx_n_s_ebqe_penalty;
static PyObject *__pyx_n_s_ebqe_v;
static PyObject *__pyx_n_s_elemQuadIsDict;
static PyObject *__pyx_n_s_elementBoundaryDiametersArray;
static PyObject *__pyx_n_s_elementBoundaryElementsArray;
static PyObject *__pyx_n_s_elementBoundaryIntegralKeys;
static PyObject *__pyx_n_s_elementBoundaryIntegrals;
static PyObject *__pyx_n_s_elementBoundaryLocalElementBound;
static PyObject *__pyx_n_s_elementBoundaryQuadrature;
static PyObject *__pyx_n_s_elementBoundaryQuadratureDict;
static PyObject *__pyx_n_s_elementBoundaryQuadratureDiction;
static PyObject *__pyx_n_s_elementBoundaryQuadraturePoints;
static PyObject *__pyx_n_s_elementBoundaryQuadratureRuleInd;
static PyObject *__pyx_n_s_elementBoundaryQuadratureWeights;
static PyObject *__pyx_n_s_elementDiameter;
static PyObject *__pyx_n_s_elementDiametersArray;
static PyObject *__pyx_n_s_elementEffectiveDiametersArray;
static PyObject *__pyx_n_s_elementInnerDiametersArray;
static PyObject *__pyx_n_s_elementIntegralKeys;
static PyObject *__pyx_n_s_elementMaps;
static PyObject *__pyx_n_s_elementNodesArray;
static PyObject *__pyx_n_s_elementQuadrature;
static PyObject *__pyx_n_s_elementQuadratureDict;
static PyObject *__pyx_n_s_elementQuadratureDictionaryWrite;
static PyObject *__pyx_n_s_elementQuadraturePoints;
static PyObject *__pyx_n_s_elementQuadratureRuleIndeces;
static PyObject *__pyx_n_s_elementQuadratureWeights;
static PyObject *__pyx_kp_s_element_and_element_boundary_Jac;
static PyObject *__pyx_n_s_enumerate;
static PyObject *__pyx_n_s_estimate_mt;
static PyObject *__pyx_n_s_evaluate;
static PyObject *__pyx_n_s_exteriorElementBoundariesArray;
static PyObject *__pyx_n_s_exteriorElementBoundaryQuadratur;
static PyObject *__pyx_n_s_fOfX;
static PyObject *__pyx_n_s_fabs;
static PyObject *__pyx_n_s_fbcObject;
static PyObject *__pyx_n_s_femSpace;
static PyObject *__pyx_n_s_fill;
static PyObject *__pyx_n_s_flag;
static PyObject *__pyx_n_s_flat;
static PyObject *__pyx_n_s_fluxBoundaryConditions;
static PyObject *__pyx_n_s_fluxBoundaryConditionsDict;
static PyObject *__pyx_n_s_fluxBoundaryConditionsObjectsDic;
static PyObject *__pyx_n_s_forceStrongConditions;
static PyObject *__pyx_n_s_forceStrongDirichlet;
static PyObject *__pyx_n_s_g;
static PyObject *__pyx_n_s_get;
static PyObject *__pyx_n_s_getAdvectiveFluxBoundaryConditio;
static PyObject *__pyx_n_s_getBasisGradientValuesRef;
static PyObject *__pyx_n_s_getBasisGradientValuesTraceRef;
static PyObject *__pyx_n_s_getBasisValuesRef;
static PyObject *__pyx_n_s_getBasisValuesTraceRef;
static PyObject *__pyx_n_s_getCSRrepresentation;
static PyObject *__pyx_n_s_getDiffusiveFluxBoundaryConditio;
static PyObject *__pyx_n_s_getJacobian;
static PyObject *__pyx_n_s_getPointwiseBoundaryConditions;
static PyObject *__pyx_n_s_getResidual;
static PyObject *__pyx_n_s_getValues;
static PyObject *__pyx_n_s_getValuesGlobalExteriorTrace;
static PyObject *__pyx_n_s_getstate;
static PyObject *__pyx_n_s_globalJacobian;
static PyObject *__pyx_n_s_globalMax;
static PyObject *__pyx_n_s_globalResidual;
static PyObject *__pyx_n_s_globalSum;
static PyObject *__pyx_n_s_grad_psi;
static PyObject *__pyx_n_s_grad_psi_trace;
static PyObject *__pyx_kp_s_grad_u;
static PyObject *__pyx_n_s_hamiltonian;
static PyObject *__pyx_n_s_has_key;
static PyObject *__pyx_n_s_i;
static PyObject *__pyx_n_s_import;
static PyObject *__pyx_kp_s_inflowBC_internalNodes_updateLoc;
static PyObject *__pyx_n_s_inflowBoundaryBC;
static PyObject *__pyx_n_s_inflowBoundaryBC_values;
static PyObject *__pyx_n_s_inflowFlux;
static PyObject *__pyx_n_s_init;
static PyObject *__pyx_n_s_initializationPhase;
static PyObject *__pyx_n_s_initializeElementBoundaryQuadrat;
static PyObject *__pyx_n_s_initializeElementQuadrature;
static PyObject *__pyx_n_s_initializeGlobalExteriorElementB;
static PyObject *__pyx_n_s_initializeMesh;
static PyObject *__pyx_n_s_initializeTimeIntegration;
static PyObject *__pyx_n_s_integrateInterpolationPoints;
static PyObject *__pyx_n_s_internalNodes;
static PyObject *__pyx_n_s_internalNodesArray;
static PyObject *__pyx_n_s_interpolationConditions;
static PyObject *__pyx_n_s_isAdvectiveFluxBoundary_u;
static PyObject *__pyx_n_s_isDOFBoundary;
static PyObject *__pyx_n_s_isDOFBoundary_u;
static PyObject *__pyx_n_s_isFluxBoundary_u;
static PyObject *__pyx_n_s_iteritems;
static PyObject *__pyx_n_s_jacobian;
static PyObject *__pyx_n_s_k;
static PyObject *__pyx_n_s_keys;
static PyObject *__pyx_n_s_l2g;
static PyObject *__pyx_n_s_l2proj;
static PyObject *__pyx_n_s_lag;
static PyObject *__pyx_n_s_lag_shockCapturing;
static PyObject *__pyx_n_s_level;
static PyObject *__pyx_n_s_linear;
static PyObject *__pyx_n_s_localFunctionSpace;
static PyObject *__pyx_n_s_log;
static PyObject *__pyx_n_s_logEvent;
static PyObject *__pyx_n_s_lowmem;
static PyObject *__pyx_n_s_m;
static PyObject *__pyx_n_s_main;
static PyObject *__pyx_n_s_mass;
static PyObject *__pyx_n_s_massConservationError;
static PyObject *__pyx_n_s_massLumping;
static PyObject *__pyx_n_s_matType;
static PyObject *__pyx_n_s_math;
static PyObject *__pyx_n_s_max;
static PyObject *__pyx_n_s_max_nDOF_element;
static PyObject *__pyx_n_s_memory;
static PyObject *__pyx_n_s_mesh;
static PyObject *__pyx_n_s_mesh_dof;
static PyObject *__pyx_n_s_mesh_grad_trial_ref;
static PyObject *__pyx_n_s_mesh_grad_trial_trace_ref;
static PyObject *__pyx_n_s_mesh_l2g;
static PyObject *__pyx_n_s_mesh_trial_ref;
static PyObject *__pyx_n_s_mesh_trial_trace_ref;
static PyObject *__pyx_n_s_metaclass;
static PyObject *__pyx_n_s_mixedFlow;
static PyObject *__pyx_n_s_module;
static PyObject *__pyx_n_s_movingDomain;
static PyObject *__pyx_n_s_n;
static PyObject *__pyx_n_s_nCalls;
static PyObject *__pyx_n_s_nDOF_mesh_trial_elementIn;
static PyObject *__pyx_n_s_nDOF_phi_trial_element;
static PyObject *__pyx_n_s_nDOF_test_element;
static PyObject *__pyx_n_s_nDOF_test_elementIn;
static PyObject *__pyx_n_s_nDOF_trial_element;
static PyObject *__pyx_n_s_nDOF_trial_elementIn;
static PyObject *__pyx_n_s_nElementBoundaries_element;
static PyObject *__pyx_n_s_nElementBoundaries_global;
static PyObject *__pyx_n_s_nElementBoundaryQuadraturePoints;
static PyObject *__pyx_n_s_nElementBoundaryQuadraturePoints_2;
static PyObject *__pyx_n_s_nElements_global;
static PyObject *__pyx_n_s_nElements_owned;
static PyObject *__pyx_n_s_nExteriorElementBoundaries_globa;
static PyObject *__pyx_n_s_nFreeDOF_global;
static PyObject *__pyx_n_s_nFreeVDOF_global;
static PyObject *__pyx_n_s_nI;
static PyObject *__pyx_n_s_nNodes_element;
static PyObject *__pyx_n_s_nNodes_global;
static PyObject *__pyx_n_s_nNodes_internal;
static PyObject *__pyx_n_s_nNonzerosInJacobian;
static PyObject *__pyx_n_s_nQuadraturePoints;
static PyObject *__pyx_n_s_nQuadraturePoints_element;
static PyObject *__pyx_n_s_nQuadraturePoints_elementBoundar;
static PyObject *__pyx_n_s_nQuadraturePoints_elementIn;
static PyObject *__pyx_n_s_nQuadraturePoints_global;
static PyObject *__pyx_n_s_nSpaceIn;
static PyObject *__pyx_n_s_nSpace_global;
static PyObject *__pyx_n_s_nSteps;
static PyObject *__pyx_n_s_nStepsToDelay;
static PyObject *__pyx_n_s_nVDOF_element;
static PyObject *__pyx_n_s_n_phi_ip_element;
static PyObject *__pyx_n_s_name;
static PyObject *__pyx_n_s_name_2;
static PyObject *__pyx_n_s_nc;
static PyObject *__pyx_n_s_nd;
static PyObject *__pyx_kp_u_ndarray_is_not_C_contiguous;
static PyObject *__pyx_kp_u_ndarray_is_not_Fortran_contiguou;
static PyObject *__pyx_kp_s_no_default___reduce___due_to_non;
static PyObject *__pyx_n_s_nodeArray;
static PyObject *__pyx_n_s_nodeVelocityArray;
static PyObject *__pyx_n_s_nonlinear;
static PyObject *__pyx_n_s_nonlinear_function_evaluations;
static PyObject *__pyx_n_s_nonlinear_function_jacobian_eval;
static PyObject *__pyx_n_s_normal_ref;
static PyObject *__pyx_n_s_numDiff;
static PyObject *__pyx_n_s_numDiff_last;
static PyObject *__pyx_n_s_numericalFlux;
static PyObject *__pyx_n_s_numericalFluxType;
static PyObject *__pyx_n_s_numpy;
static PyObject *__pyx_kp_s_numpy_core_multiarray_failed_to;
static PyObject *__pyx_kp_s_numpy_core_umath_failed_to_impor;
static PyObject *__pyx_n_s_offset;
static PyObject *__pyx_n_s_offset_u;
static PyObject *__pyx_n_s_options;
static PyObject *__pyx_n_s_outFlow;
static PyObject *__pyx_n_s_pdb;
static PyObject *__pyx_n_s_penalty;
static PyObject *__pyx_n_s_penalty_constant;
static PyObject *__pyx_n_s_penalty_power;
static PyObject *__pyx_n_s_periodicDirichletConditions;
static PyObject *__pyx_n_s_phi;
static PyObject *__pyx_n_s_phiDict;
static PyObject *__pyx_n_s_phiTrialIsTrial;
static PyObject *__pyx_n_s_phi_ip;
static PyObject *__pyx_n_s_phi_k;
static PyObject *__pyx_n_s_points_elementBoundaryQuadrature;
static PyObject *__pyx_n_s_potential;
static PyObject *__pyx_n_s_prepare;
static PyObject *__pyx_n_s_proteus;
static PyObject *__pyx_kp_s_proteus_ADR_pyx;
static PyObject *__pyx_n_s_proteus_Comm;
static PyObject *__pyx_n_s_proteus_FemTools;
static PyObject *__pyx_n_s_proteus_NonlinearSolvers;
static PyObject *__pyx_n_s_proteus_Profiling;
static PyObject *__pyx_n_s_proteus_ShockCapturing;
static PyObject *__pyx_n_s_proteus_SubgridError;
static PyObject *__pyx_n_s_proteus_Transport;
static PyObject *__pyx_n_s_proteus_TransportCoefficients;
static PyObject *__pyx_n_s_proteus_ctransportCoefficients;
static PyObject *__pyx_n_s_psi;
static PyObject *__pyx_n_s_psi_trace;
static PyObject *__pyx_n_s_q;
static PyObject *__pyx_n_s_q_a;
static PyObject *__pyx_n_s_q_numDiff_u;
static PyObject *__pyx_n_s_q_numDiff_u_last;
static PyObject *__pyx_n_s_q_r;
static PyObject *__pyx_n_s_q_v;
static PyObject *__pyx_n_s_qualname;
static PyObject *__pyx_n_s_r;
static PyObject *__pyx_n_s_range;
static PyObject *__pyx_n_s_reaction;
static PyObject *__pyx_n_s_reactionLumping;
static PyObject *__pyx_n_s_reduce;
static PyObject *__pyx_n_s_reduce_cython;
static PyObject *__pyx_n_s_reduce_ex;
static PyObject *__pyx_n_s_referenceFiniteElement;
static PyObject *__pyx_n_s_reuse_test_trial_quadrature;
static PyObject *__pyx_n_s_reuse_trial_and_test_quadrature;
static PyObject *__pyx_n_s_row;
static PyObject *__pyx_n_s_sc_alpha;
static PyObject *__pyx_n_s_sc_beta;
static PyObject *__pyx_n_s_sc_uref;
static PyObject *__pyx_n_s_scalars_elementBoundaryQuadratur;
static PyObject *__pyx_n_s_sd;
static PyObject *__pyx_n_s_sdInfo;
static PyObject *__pyx_n_s_sdInfo_u_u_colind;
static PyObject *__pyx_n_s_sdInfo_u_u_rowptr;
static PyObject *__pyx_n_s_self;
static PyObject *__pyx_n_s_setDirichletValues;
static PyObject *__pyx_n_s_setFlow;
static PyObject *__pyx_n_s_setFromOptions;
static PyObject *__pyx_n_s_setUnknowns;
static PyObject *__pyx_n_s_setstate;
static PyObject *__pyx_n_s_setstate_cython;
static PyObject *__pyx_n_s_setupFieldStrides;
static PyObject *__pyx_n_s_shape;
static PyObject *__pyx_n_s_shockCapturing;
static PyObject *__pyx_n_s_shockCapturingDiffusion;
static PyObject *__pyx_n_s_shockCapturingFactor;
static PyObject *__pyx_n_s_size;
static PyObject *__pyx_n_s_sparseDiffusionTensors;
static PyObject *__pyx_n_s_stab;
static PyObject *__pyx_n_s_stabilization;
static PyObject *__pyx_n_s_stabilizationIsNonlinear;
static PyObject *__pyx_n_s_start;
static PyObject *__pyx_n_s_step;
static PyObject *__pyx_n_s_stop;
static PyObject *__pyx_n_s_stressTraceBoundaryConditionsSet;
static PyObject *__pyx_n_s_stride;
static PyObject *__pyx_kp_s_stride_offset;
static PyObject *__pyx_n_s_stride_u;
static PyObject *__pyx_n_s_sum;
static PyObject *__pyx_n_s_t;
static PyObject *__pyx_n_s_tLast_mesh;
static PyObject *__pyx_n_s_tensors_elementBoundaryQuadratur;
static PyObject *__pyx_n_s_test;
static PyObject *__pyx_n_s_testIsTrial;
static PyObject *__pyx_n_s_testSpace;
static PyObject *__pyx_n_s_testSpaceDict;
static PyObject *__pyx_n_s_timeIntegration;
static PyObject *__pyx_n_s_timeTerm;
static PyObject *__pyx_n_s_timeVaryingCoefficients;
static PyObject *__pyx_kp_s_to_reuse_test_trial_quad_all_fem;
static PyObject *__pyx_n_s_u;
static PyObject *__pyx_n_s_uDict;
static PyObject *__pyx_n_s_u_dof;
static PyObject *__pyx_n_s_u_grad_test_ref;
static PyObject *__pyx_n_s_u_grad_test_trace_ref;
static PyObject *__pyx_n_s_u_grad_trial_ref;
static PyObject *__pyx_n_s_u_grad_trial_trace_ref;
static PyObject *__pyx_n_s_u_j;
static PyObject *__pyx_n_s_u_l2g;
static PyObject *__pyx_n_s_u_test_ref;
static PyObject *__pyx_n_s_u_test_trace_ref;
static PyObject *__pyx_n_s_u_trial_ref;
static PyObject *__pyx_n_s_u_trial_trace_ref;
static PyObject *__pyx_n_s_ua;
static PyObject *__pyx_kp_u_unknown_dtype_code_in_numpy_pxd;
static PyObject *__pyx_n_s_updateLocal2Global;
static PyObject *__pyx_n_s_updateShockCapturingHistory;
static PyObject *__pyx_n_s_updateSubgridErrorHistory;
static PyObject *__pyx_n_s_useMetrics;
static PyObject *__pyx_n_s_useSparseDiffusion;
static PyObject *__pyx_n_s_useWeakDirichletConditions;
static PyObject *__pyx_n_s_usesGradientStabilization;
static PyObject *__pyx_n_s_values;
static PyObject *__pyx_n_s_variableNames;
static PyObject *__pyx_n_s_vectors_elementBoundaryQuadratur;
static PyObject *__pyx_n_s_velocity;
static PyObject *__pyx_n_s_velocityPostProcessor;
static PyObject *__pyx_kp_s_velocity_postprocessor;
static PyObject *__pyx_n_s_vt;
static PyObject *__pyx_n_s_weakDirichletConditions;
static PyObject *__pyx_n_s_x;
static PyObject *__pyx_n_s_zeroJacobian_CSR;
static PyObject *__pyx_n_s_zeros;
static int __pyx_pf_3ADR_3ADR___cinit__(struct __pyx_obj_3ADR_ADR *__pyx_v_self, int __pyx_v_nSpaceIn, int __pyx_v_nQuadraturePoints_elementIn, int __pyx_v_nDOF_mesh_trial_elementIn, int __pyx_v_nDOF_trial_elementIn, int __pyx_v_nDOF_test_elementIn, int __pyx_v_nQuadraturePoints_elementBoundaryIn, int __pyx_v_CompKernelFlag); /* proto */
static void __pyx_pf_3ADR_3ADR_2__dealloc__(struct __pyx_obj_3ADR_ADR *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_3ADR_3ADR_4calculateResidual(struct __pyx_obj_3ADR_ADR *__pyx_v_self, PyArrayObject *__pyx_v_mesh_trial_ref, PyArrayObject *__pyx_v_mesh_grad_trial_ref, PyArrayObject *__pyx_v_mesh_dof, PyArrayObject *__pyx_v_mesh_l2g, PyArrayObject *__pyx_v_dV_ref, PyArrayObject *__pyx_v_u_trial_ref, PyArrayObject *__pyx_v_u_grad_trial_ref, PyArrayObject *__pyx_v_u_test_ref, PyArrayObject *__pyx_v_u_grad_test_ref, PyArrayObject *__pyx_v_elementDiameter, PyArrayObject *__pyx_v_cfl, double __pyx_v_CT_sge, double __pyx_v_sc_uref, double __pyx_v_sc_alpha, double __pyx_v_useMetrics, PyArrayObject *__pyx_v_mesh_trial_trace_ref, PyArrayObject *__pyx_v_mesh_grad_trial_trace_ref, PyArrayObject *__pyx_v_dS_ref, PyArrayObject *__pyx_v_u_trial_trace_ref, PyArrayObject *__pyx_v_u_grad_trial_trace_ref, PyArrayObject *__pyx_v_u_test_trace_ref, PyArrayObject *__pyx_v_u_grad_test_trace_ref, PyArrayObject *__pyx_v_normal_ref, PyArrayObject *__pyx_v_boundaryJac_ref, int __pyx_v_nElements_global, PyArrayObject *__pyx_v_u_l2g, PyArrayObject *__pyx_v_u_dof, PyArrayObject *__pyx_v_sdInfo_u_u_rowptr, PyArrayObject *__pyx_v_sdInfo_u_u_colind, PyArrayObject *__pyx_v_q_a, PyArrayObject *__pyx_v_q_v, PyArrayObject *__pyx_v_q_r, int __pyx_v_lag_shockCapturing, double __pyx_v_shockCapturingDiffusion, PyArrayObject *__pyx_v_q_numDiff_u, PyArrayObject *__pyx_v_q_numDiff_u_last, int __pyx_v_offset_u, int __pyx_v_stride_u, PyArrayObject *__pyx_v_globalResidual, int __pyx_v_nExteriorElementBoundaries_global, PyArrayObject *__pyx_v_exteriorElementBoundariesArray, PyArrayObject *__pyx_v_elementBoundaryElementsArray, PyArrayObject *__pyx_v_elementBoundaryLocalElementBoundariesArray, PyArrayObject *__pyx_v_ebqe_a, PyArrayObject *__pyx_v_ebqe_v, PyArrayObject *__pyx_v_isDOFBoundary_u, PyArrayObject *__pyx_v_ebqe_bc_u_ext, PyArrayObject *__pyx_v_isFluxBoundary_u, PyArrayObject *__pyx_v_isAdvectiveFluxBoundary_u, PyArrayObject *__pyx_v_ebqe_bc_flux_u_ext, PyArrayObject *__pyx_v_ebqe_bc_advectiveFlux_u_ext, PyArrayObject *__pyx_v_ebqe_penalty, double __pyx_v_adjoint_sigma); /* proto */
static PyObject *__pyx_pf_3ADR_3ADR_6calculateJacobian(struct __pyx_obj_3ADR_ADR *__pyx_v_self, PyArrayObject *__pyx_v_mesh_trial_ref, PyArrayObject *__pyx_v_mesh_grad_trial_ref, PyArrayObject *__pyx_v_mesh_dof, PyArrayObject *__pyx_v_mesh_l2g, PyArrayObject *__pyx_v_dV_ref, PyArrayObject *__pyx_v_u_trial_ref, PyArrayObject *__pyx_v_u_grad_trial_ref, PyArrayObject *__pyx_v_u_test_ref, PyArrayObject *__pyx_v_u_grad_test_ref, PyArrayObject *__pyx_v_elementDiameter, PyArrayObject *__pyx_v_cfl, double __pyx_v_CT_sge, double __pyx_v_sc_uref, double __pyx_v_sc_alpha, double __pyx_v_useMetrics, PyArrayObject *__pyx_v_mesh_trial_trace_ref, PyArrayObject *__pyx_v_mesh_grad_trial_trace_ref, PyArrayObject *__pyx_v_dS_ref, PyArrayObject *__pyx_v_u_trial_trace_ref, PyArrayObject *__pyx_v_u_grad_trial_trace_ref, PyArrayObject *__pyx_v_u_test_trace_ref, PyArrayObject *__pyx_v_u_grad_test_trace_ref, PyArrayObject *__pyx_v_normal_ref, PyArrayObject *__pyx_v_boundaryJac_ref, int __pyx_v_nElements_global, PyArrayObject *__pyx_v_u_l2g, PyArrayObject *__pyx_v_u_dof, PyArrayObject *__pyx_v_sdInfo_u_u_rowptr, PyArrayObject *__pyx_v_sdInfo_u_u_colind, PyArrayObject *__pyx_v_q_a, PyArrayObject *__pyx_v_q_v, PyArrayObject *__pyx_v_q_r, int __pyx_v_lag_shockCapturing, double __pyx_v_shockCapturingDiffusion, PyArrayObject *__pyx_v_q_numDiff_u, PyArrayObject *__pyx_v_q_numDiff_u_last, PyArrayObject *__pyx_v_csrRowIndeces_u_u, PyArrayObject *__pyx_v_csrColumnOffsets_u_u, PyObject *__pyx_v_globalJacobian, int __pyx_v_nExteriorElementBoundaries_global, PyArrayObject *__pyx_v_exteriorElementBoundariesArray, PyArrayObject *__pyx_v_elementBoundaryElementsArray, PyArrayObject *__pyx_v_elementBoundaryLocalElementBoundariesArray, PyArrayObject *__pyx_v_ebqe_a, PyArrayObject *__pyx_v_ebqe_v, PyArrayObject *__pyx_v_isDOFBoundary_u, PyArrayObject *__pyx_v_ebqe_bc_u_ext, PyArrayObject *__pyx_v_isFluxBoundary_u, PyArrayObject *__pyx_v_isAdvectiveFluxBoundary_u, PyArrayObject *__pyx_v_ebqe_bc_flux_u_ext, PyArrayObject *__pyx_v_ebqe_bc_advectiveFlux_u_ext, PyArrayObject *__pyx_v_csrColumnOffsets_eb_u_u, PyArrayObject *__pyx_v_ebqe_penalty, double __pyx_v_adjoint_sigma); /* proto */
static PyObject *__pyx_pf_3ADR_3ADR_8__reduce_cython__(CYTHON_UNUSED struct __pyx_obj_3ADR_ADR *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_3ADR_3ADR_10__setstate_cython__(CYTHON_UNUSED struct __pyx_obj_3ADR_ADR *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
static PyObject *__pyx_pf_3ADR_12SubgridError___init__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_coefficients, PyObject *__pyx_v_nd); /* proto */
static PyObject *__pyx_pf_3ADR_12SubgridError_2initializeElementQuadrature(CYTHON_UNUSED PyObject *__pyx_self, CYTHON_UNUSED PyObject *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v_mesh, CYTHON_UNUSED PyObject *__pyx_v_t, CYTHON_UNUSED PyObject *__pyx_v_cq); /* proto */
static PyObject *__pyx_pf_3ADR_12SubgridError_4updateSubgridErrorHistory(CYTHON_UNUSED PyObject *__pyx_self, CYTHON_UNUSED PyObject *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v_initializationPhase); /* proto */
static PyObject *__pyx_pf_3ADR_12SubgridError_6calculateSubgridError(CYTHON_UNUSED PyObject *__pyx_self, CYTHON_UNUSED PyObject *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v_q); /* proto */
static PyObject *__pyx_pf_3ADR_14ShockCapturing___init__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_coefficients, PyObject *__pyx_v_nd, PyObject *__pyx_v_shockCapturingFactor, PyObject *__pyx_v_lag, PyObject *__pyx_v_nStepsToDelay); /* proto */
static PyObject *__pyx_pf_3ADR_14ShockCapturing_2initializeElementQuadrature(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_mesh, CYTHON_UNUSED PyObject *__pyx_v_t, PyObject *__pyx_v_cq); /* proto */
static PyObject *__pyx_pf_3ADR_14ShockCapturing_4updateShockCapturingHistory(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_3ADR_18NumericalFlux_IIPG___init__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_vt, PyObject *__pyx_v_getPointwiseBoundaryConditions, PyObject *__pyx_v_getAdvectiveFluxBoundaryConditions, PyObject *__pyx_v_getDiffusiveFluxBoundaryConditions); /* proto */
static PyObject *__pyx_pf_3ADR_18NumericalFlux_SIPG___init__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_vt, PyObject *__pyx_v_getPointwiseBoundaryConditions, PyObject *__pyx_v_getAdvectiveFluxBoundaryConditions, PyObject *__pyx_v_getDiffusiveFluxBoundaryConditions); /* proto */
static PyObject *__pyx_pf_3ADR_18NumericalFlux_NIPG___init__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_vt, PyObject *__pyx_v_getPointwiseBoundaryConditions, PyObject *__pyx_v_getAdvectiveFluxBoundaryConditions, PyObject *__pyx_v_getDiffusiveFluxBoundaryConditions); /* proto */
static PyObject *__pyx_pf_3ADR_12Coefficients___init__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_aOfX, PyObject *__pyx_v_fOfX, PyObject *__pyx_v_velocity, PyObject *__pyx_v_nc, PyObject *__pyx_v_nd, PyObject *__pyx_v_l2proj, PyObject *__pyx_v_timeVaryingCoefficients, PyObject *__pyx_v_forceStrongDirichlet, PyObject *__pyx_v_useMetrics, PyObject *__pyx_v_sc_uref, PyObject *__pyx_v_sc_beta); /* proto */
static PyObject *__pyx_pf_3ADR_12Coefficients_2initializeElementQuadrature(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v_t, PyObject *__pyx_v_cq); /* proto */
static PyObject *__pyx_pf_3ADR_12Coefficients_4initializeElementBoundaryQuadrature(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v_t, PyObject *__pyx_v_cebq, PyObject *__pyx_v_cebq_global); /* proto */
static PyObject *__pyx_pf_3ADR_12Coefficients_6initializeGlobalExteriorElementBoundaryQuadrature(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v_t, PyObject *__pyx_v_cebqe); /* proto */
static PyObject *__pyx_pf_3ADR_12Coefficients_8evaluate(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v_t, PyObject *__pyx_v_c); /* proto */
static PyObject *__pyx_pf_3ADR_10LevelModel___init__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_uDict, PyObject *__pyx_v_phiDict, PyObject *__pyx_v_testSpaceDict, PyObject *__pyx_v_matType, PyObject *__pyx_v_dofBoundaryConditionsDict, PyObject *__pyx_v_dofBoundaryConditionsSetterDict, PyObject *__pyx_v_coefficients, PyObject *__pyx_v_elementQuadrature, PyObject *__pyx_v_elementBoundaryQuadrature, PyObject *__pyx_v_fluxBoundaryConditionsDict, PyObject *__pyx_v_advectiveFluxBoundaryConditionsSetterDict, PyObject *__pyx_v_diffusiveFluxBoundaryConditionsSetterDictDict, CYTHON_UNUSED PyObject *__pyx_v_stressTraceBoundaryConditionsSetterDict, PyObject *__pyx_v_stabilization, PyObject *__pyx_v_shockCapturing, PyObject *__pyx_v_conservativeFluxDict, PyObject *__pyx_v_numericalFluxType, PyObject *__pyx_v_TimeIntegrationClass, PyObject *__pyx_v_massLumping, PyObject *__pyx_v_reactionLumping, PyObject *__pyx_v_options, PyObject *__pyx_v_name, PyObject *__pyx_v_reuse_trial_and_test_quadrature, PyObject *__pyx_v_sd, PyObject *__pyx_v_movingDomain); /* proto */
static PyObject *__pyx_pf_3ADR_10LevelModel_2calculateCoefficients(CYTHON_UNUSED PyObject *__pyx_self, CYTHON_UNUSED PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_3ADR_10LevelModel_4getResidual(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_u, PyObject *__pyx_v_r); /* proto */
static PyObject *__pyx_pf_3ADR_10LevelModel_6getJacobian(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_jacobian); /* proto */
static PyObject *__pyx_pf_3ADR_10LevelModel_8calculateElementQuadrature(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_3ADR_10LevelModel_10calculateElementBoundaryQuadrature(CYTHON_UNUSED PyObject *__pyx_self, CYTHON_UNUSED PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_3ADR_10LevelModel_12calculateExteriorElementBoundaryQuadrature(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_3ADR_10LevelModel_14estimate_mt(CYTHON_UNUSED PyObject *__pyx_self, CYTHON_UNUSED PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_3ADR_10LevelModel_16calculateAuxiliaryQuantitiesAfterStep(CYTHON_UNUSED PyObject *__pyx_self, CYTHON_UNUSED PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_3ADR_10LevelModel_18calculateSolutionAtQuadrature(CYTHON_UNUSED PyObject *__pyx_self, CYTHON_UNUSED PyObject *__pyx_v_self); /* proto */
static int __pyx_pf_5numpy_7ndarray___getbuffer__(PyArrayObject *__pyx_v_self, Py_buffer *__pyx_v_info, int __pyx_v_flags); /* proto */
static void __pyx_pf_5numpy_7ndarray_2__releasebuffer__(PyArrayObject *__pyx_v_self, Py_buffer *__pyx_v_info); /* proto */
static PyObject *__pyx_tp_new_3ADR_ADR(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_float_0_0;
static PyObject *__pyx_float_1_0;
static PyObject *__pyx_float_0_25;
static PyObject *__pyx_int_0;
static PyObject *__pyx_int_1;
static PyObject *__pyx_int_2;
static PyObject *__pyx_int_3;
static PyObject *__pyx_int_4;
static PyObject *__pyx_int_5;
static PyObject *__pyx_int_6;
static PyObject *__pyx_int_9;
static PyObject *__pyx_int_10;
static PyObject *__pyx_tuple_;
static PyObject *__pyx_slice__3;
static PyObject *__pyx_slice__7;
static PyObject *__pyx_tuple__2;
static PyObject *__pyx_tuple__4;
static PyObject *__pyx_tuple__5;
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        CYTHON_FALLTHROUGH;
        case 39: values[38] = PyTuple_GET_ITEM(__pyx_args, 38);
        CYTHON_FALLTHROUGH;
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        CYTHON_FALLTHROUGH;
        case 37: values[36] = PyTuple_GET_ITEM(__pyx_args, 36);
        CYTHON_FALLTHROUGH;
        case 36: values[35] = PyTuple_GET_ITEM(__pyx_args, 35);
        CYTHON_FALLTHROUGH;
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        CYTHON_FALLTHROUGH;
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        CYTHON_FALLTHROUGH;
        case 33: values[32] = PyTuple_GET_ITEM(__pyx_args, 32);
        CYTHON_FALLTHROUGH;
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        CYTHON_FALLTHROUGH;
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        CYTHON_FALLTHROUGH;
        case 30: values[29] = PyTuple_GET_ITEM(__pyx_args, 29);
        CYTHON_FALLTHROUGH;
        case 29: values[28] = PyTuple_GET_ITEM(__pyx_args, 28);
        CYTHON_FALLTHROUGH;
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        CYTHON_FALLTHROUGH;
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        CYTHON_FALLTHROUGH;
        case 26: values[25] = PyTuple_GET_ITEM(__pyx_args, 25);
        CYTHON_FALLTHROUGH;
        case 25: values[24] = PyTuple_GET_ITEM(__pyx_args, 24);
        CYTHON_FALLTHROUGH;
        case 24: values[23] = PyTuple_GET_ITEM(__pyx_args, 23);
        CYTHON_FALLTHROUGH;
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        CYTHON_FALLTHROUGH;
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        CYTHON_FALLTHROUGH;
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        CYTHON_FALLTHROUGH;
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        CYTHON_FALLTHROUGH;
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        CYTHON_FALLTHROUGH;
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        CYTHON_FALLTHROUGH;
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        case 10: values[9] = PyTuple_GET_ITEM(__pyx_args, 9);
        CYTHON_FALLTHROUGH;
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        CYTHON_FALLTHROUGH;
        case  8: values[7] = PyTuple_GET_ITEM(__pyx_args, 7);
        CYTHON_FALLTHROUGH;
        case  7: values[6] = PyTuple_GET_ITEM(__pyx_args, 6);
        CYTHON_FALLTHROUGH;
        case  6: values[5] = PyTuple_GET_ITEM(__pyx_args, 5);
        CYTHON_FALLTHROUGH;
        case  5: values[4] = PyTuple_GET_ITEM(__pyx_args, 4);
        CYTHON_FALLTHROUGH;
        case  4: values[3] = PyTuple_GET_ITEM(__pyx_args, 3);
        CYTHON_FALLTHROUGH;
        case  3: values[2] = PyTuple_GET_ITEM(__pyx_args, 2);
        CYTHON_FALLTHROUGH;
        case  2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
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        CYTHON_FALLTHROUGH;
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        CYTHON_FALLTHROUGH;
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        CYTHON_FALLTHROUGH;
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        CYTHON_FALLTHROUGH;
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        CYTHON_FALLTHROUGH;
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        CYTHON_FALLTHROUGH;
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static PyObject *__pyx_pf_3ADR_3ADR_4calculateResidual(struct __pyx_obj_3ADR_ADR *__pyx_v_self, PyArrayObject *__pyx_v_mesh_trial_ref, PyArrayObject *__pyx_v_mesh_grad_trial_ref, PyArrayObject *__pyx_v_mesh_dof, PyArrayObject *__pyx_v_mesh_l2g, PyArrayObject *__pyx_v_dV_ref, PyArrayObject *__pyx_v_u_trial_ref, PyArrayObject *__pyx_v_u_grad_trial_ref, PyArrayObject *__pyx_v_u_test_ref, PyArrayObject *__pyx_v_u_grad_test_ref, PyArrayObject *__pyx_v_elementDiameter, PyArrayObject *__pyx_v_cfl, double __pyx_v_CT_sge, double __pyx_v_sc_uref, double __pyx_v_sc_alpha, double __pyx_v_useMetrics, PyArrayObject *__pyx_v_mesh_trial_trace_ref, PyArrayObject *__pyx_v_mesh_grad_trial_trace_ref, PyArrayObject *__pyx_v_dS_ref, PyArrayObject *__pyx_v_u_trial_trace_ref, PyArrayObject *__pyx_v_u_grad_trial_trace_ref, PyArrayObject *__pyx_v_u_test_trace_ref, PyArrayObject *__pyx_v_u_grad_test_trace_ref, PyArrayObject *__pyx_v_normal_ref, PyArrayObject *__pyx_v_boundaryJac_ref, int __pyx_v_nElements_global, PyArrayObject *__pyx_v_u_l2g, PyArrayObject *__pyx_v_u_dof, PyArrayObject *__pyx_v_sdInfo_u_u_rowptr, PyArrayObject *__pyx_v_sdInfo_u_u_colind, PyArrayObject *__pyx_v_q_a, PyArrayObject *__pyx_v_q_v, PyArrayObject *__pyx_v_q_r, int __pyx_v_lag_shockCapturing, double __pyx_v_shockCapturingDiffusion, PyArrayObject *__pyx_v_q_numDiff_u, PyArrayObject *__pyx_v_q_numDiff_u_last, int __pyx_v_offset_u, int __pyx_v_stride_u, PyArrayObject *__pyx_v_globalResidual, int __pyx_v_nExteriorElementBoundaries_global, PyArrayObject *__pyx_v_exteriorElementBoundariesArray, PyArrayObject *__pyx_v_elementBoundaryElementsArray, PyArrayObject *__pyx_v_elementBoundaryLocalElementBoundariesArray, PyArrayObject *__pyx_v_ebqe_a, PyArrayObject *__pyx_v_ebqe_v, PyArrayObject *__pyx_v_isDOFBoundary_u, PyArrayObject *__pyx_v_ebqe_bc_u_ext, PyArrayObject *__pyx_v_isFluxBoundary_u, PyArrayObject *__pyx_v_isAdvectiveFluxBoundary_u, PyArrayObject *__pyx_v_ebqe_bc_flux_u_ext, PyArrayObject *__pyx_v_ebqe_bc_advectiveFlux_u_ext, PyArrayObject *__pyx_v_ebqe_penalty, double __pyx_v_adjoint_sigma) {
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  /* "ADR.pyx":217
 *                           numpy.ndarray ebqe_penalty,
 *                           double adjoint_sigma):
 *         self.thisptr.calculateResidual(<double*> mesh_trial_ref.data,             # <<<<<<<<<<<<<<
 *                                        <double*> mesh_grad_trial_ref.data,
 *                                        <double*> mesh_dof.data,
 */
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  /* "ADR.pyx":163
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 *         del self.thisptr
 *     def calculateResidual(self,             # <<<<<<<<<<<<<<
 *                           numpy.ndarray mesh_trial_ref,
 *                           numpy.ndarray mesh_grad_trial_ref,
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/* "ADR.pyx":270
 *                                        <double*> ebqe_penalty.data,
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 *     def calculateJacobian(self,             # <<<<<<<<<<<<<<
 *                           numpy.ndarray mesh_trial_ref,
 *                           numpy.ndarray mesh_grad_trial_ref,
 */
 
/* Python wrapper */
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 *                  diffusiveFluxBoundaryConditionsSetterDictDict=None,
 *                  stressTraceBoundaryConditionsSetterDict=None,
 */
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 *                  stressTraceBoundaryConditionsSetterDict=None,
 *                  stabilization=None,
 */
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 *                  advectiveFluxBoundaryConditionsSetterDict=None,
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 *                  stressTraceBoundaryConditionsSetterDict=None,             # <<<<<<<<<<<<<<
 *                  stabilization=None,
 *                  shockCapturing=None,
 */
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    /* "ADR.pyx":585
 *                  diffusiveFluxBoundaryConditionsSetterDictDict=None,
 *                  stressTraceBoundaryConditionsSetterDict=None,
 *                  stabilization=None,             # <<<<<<<<<<<<<<
 *                  shockCapturing=None,
 *                  conservativeFluxDict=None,
 */
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 *                  stressTraceBoundaryConditionsSetterDict=None,
 *                  stabilization=None,
 *                  shockCapturing=None,             # <<<<<<<<<<<<<<
 *                  conservativeFluxDict=None,
 *                  numericalFluxType=None,
 */
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    /* "ADR.pyx":587
 *                  stabilization=None,
 *                  shockCapturing=None,
 *                  conservativeFluxDict=None,             # <<<<<<<<<<<<<<
 *                  numericalFluxType=None,
 *                  TimeIntegrationClass=None,
 */
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    /* "ADR.pyx":588
 *                  shockCapturing=None,
 *                  conservativeFluxDict=None,
 *                  numericalFluxType=None,             # <<<<<<<<<<<<<<
 *                  TimeIntegrationClass=None,
 *                  massLumping=False,
 */
    values[17] = ((PyObject *)((PyObject *)Py_None));
 
    /* "ADR.pyx":589
 *                  conservativeFluxDict=None,
 *                  numericalFluxType=None,
 *                  TimeIntegrationClass=None,             # <<<<<<<<<<<<<<
 *                  massLumping=False,
 *                  reactionLumping=False,
 */
    values[18] = ((PyObject *)((PyObject *)Py_None));
 
    /* "ADR.pyx":590
 *                  numericalFluxType=None,
 *                  TimeIntegrationClass=None,
 *                  massLumping=False,             # <<<<<<<<<<<<<<
 *                  reactionLumping=False,
 *                  options=None,
 */
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    /* "ADR.pyx":591
 *                  TimeIntegrationClass=None,
 *                  massLumping=False,
 *                  reactionLumping=False,             # <<<<<<<<<<<<<<
 *                  options=None,
 *                  name='defaultName',
 */
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    /* "ADR.pyx":592
 *                  massLumping=False,
 *                  reactionLumping=False,
 *                  options=None,             # <<<<<<<<<<<<<<
 *                  name='defaultName',
 *                  reuse_trial_and_test_quadrature=True,
 */
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    /* "ADR.pyx":594
 *                  options=None,
 *                  name='defaultName',
 *                  reuse_trial_and_test_quadrature=True,             # <<<<<<<<<<<<<<
 *                  sd = True,
 *                  movingDomain=False):#,
 */
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    /* "ADR.pyx":595
 *                  name='defaultName',
 *                  reuse_trial_and_test_quadrature=True,
 *                  sd = True,             # <<<<<<<<<<<<<<
 *                  movingDomain=False):#,
 *         from proteus import Comm
 */
    values[24] = ((PyObject *)((PyObject *)Py_True));
 
    /* "ADR.pyx":596
 *                  reuse_trial_and_test_quadrature=True,
 *                  sd = True,
 *                  movingDomain=False):#,             # <<<<<<<<<<<<<<
 *         from proteus import Comm
 *         #
 */
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        CYTHON_FALLTHROUGH;
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  /* "ADR.pyx":571
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static PyObject *__pyx_pf_3ADR_10LevelModel___init__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_uDict, PyObject *__pyx_v_phiDict, PyObject *__pyx_v_testSpaceDict, PyObject *__pyx_v_matType, PyObject *__pyx_v_dofBoundaryConditionsDict, PyObject *__pyx_v_dofBoundaryConditionsSetterDict, PyObject *__pyx_v_coefficients, PyObject *__pyx_v_elementQuadrature, PyObject *__pyx_v_elementBoundaryQuadrature, PyObject *__pyx_v_fluxBoundaryConditionsDict, PyObject *__pyx_v_advectiveFluxBoundaryConditionsSetterDict, PyObject *__pyx_v_diffusiveFluxBoundaryConditionsSetterDictDict, CYTHON_UNUSED PyObject *__pyx_v_stressTraceBoundaryConditionsSetterDict, PyObject *__pyx_v_stabilization, PyObject *__pyx_v_shockCapturing, PyObject *__pyx_v_conservativeFluxDict, PyObject *__pyx_v_numericalFluxType, PyObject *__pyx_v_TimeIntegrationClass, PyObject *__pyx_v_massLumping, PyObject *__pyx_v_reactionLumping, PyObject *__pyx_v_options, PyObject *__pyx_v_name, PyObject *__pyx_v_reuse_trial_and_test_quadrature, PyObject *__pyx_v_sd, PyObject *__pyx_v_movingDomain) {
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  PyObject *__pyx_v_I = NULL;
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 *         log(memory("velocity postprocessor","OneLevelTransport"),level=4)
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 *         self.q[('grad(u)',0)] = numpy.zeros((self.mesh.nElements_global,self.nQuadraturePoints_element,self.nSpace_global),'d')
 *         self.q[('a',0,0)] = numpy.zeros((self.mesh.nElements_global,self.nQuadraturePoints_element,self.coefficients.sdInfo[(0,0)][0][-1]),'d')
 *         self.q[('df',0,0)] = numpy.zeros((self.mesh.nElements_global,self.nQuadraturePoints_element,self.nSpace_global),'d')             # <<<<<<<<<<<<<<
 *         self.q[('r',0)] = numpy.zeros((self.mesh.nElements_global,self.nQuadraturePoints_element),'d')
 *         self.q[('cfl',0)] = numpy.zeros((self.mesh.nElements_global,self.nQuadraturePoints_element),'d')
 */
  __pyx_tuple__11 = PyTuple_Pack(3, __pyx_n_s_df, __pyx_int_0, __pyx_int_0); if (unlikely(!__pyx_tuple__11)) __PYX_ERR(1, 790, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__11);
  __Pyx_GIVEREF(__pyx_tuple__11);
 
  /* "ADR.pyx":791
 *         self.q[('a',0,0)] = numpy.zeros((self.mesh.nElements_global,self.nQuadraturePoints_element,self.coefficients.sdInfo[(0,0)][0][-1]),'d')
 *         self.q[('df',0,0)] = numpy.zeros((self.mesh.nElements_global,self.nQuadraturePoints_element,self.nSpace_global),'d')
 *         self.q[('r',0)] = numpy.zeros((self.mesh.nElements_global,self.nQuadraturePoints_element),'d')             # <<<<<<<<<<<<<<
 *         self.q[('cfl',0)] = numpy.zeros((self.mesh.nElements_global,self.nQuadraturePoints_element),'d')
 *         self.q[('numDiff',0,0)] = numpy.zeros((self.mesh.nElements_global,self.nQuadraturePoints_element),'d')
 */
  __pyx_tuple__12 = PyTuple_Pack(2, __pyx_n_s_r, __pyx_int_0); if (unlikely(!__pyx_tuple__12)) __PYX_ERR(1, 791, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__12);
  __Pyx_GIVEREF(__pyx_tuple__12);
 
  /* "ADR.pyx":792
 *         self.q[('df',0,0)] = numpy.zeros((self.mesh.nElements_global,self.nQuadraturePoints_element,self.nSpace_global),'d')
 *         self.q[('r',0)] = numpy.zeros((self.mesh.nElements_global,self.nQuadraturePoints_element),'d')
 *         self.q[('cfl',0)] = numpy.zeros((self.mesh.nElements_global,self.nQuadraturePoints_element),'d')             # <<<<<<<<<<<<<<
 *         self.q[('numDiff',0,0)] = numpy.zeros((self.mesh.nElements_global,self.nQuadraturePoints_element),'d')
 * 
 */
  __pyx_tuple__13 = PyTuple_Pack(2, __pyx_n_s_cfl, __pyx_int_0); if (unlikely(!__pyx_tuple__13)) __PYX_ERR(1, 792, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__13);
  __Pyx_GIVEREF(__pyx_tuple__13);
 
  /* "ADR.pyx":793
 *         self.q[('r',0)] = numpy.zeros((self.mesh.nElements_global,self.nQuadraturePoints_element),'d')
 *         self.q[('cfl',0)] = numpy.zeros((self.mesh.nElements_global,self.nQuadraturePoints_element),'d')
 *         self.q[('numDiff',0,0)] = numpy.zeros((self.mesh.nElements_global,self.nQuadraturePoints_element),'d')             # <<<<<<<<<<<<<<
 * 
 *         self.ebqe['penalty'] = numpy.zeros((self.mesh.nExteriorElementBoundaries_global,self.nElementBoundaryQuadraturePoints_elementBoundary),'d')
 */
  __pyx_tuple__14 = PyTuple_Pack(3, __pyx_n_s_numDiff, __pyx_int_0, __pyx_int_0); if (unlikely(!__pyx_tuple__14)) __PYX_ERR(1, 793, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__14);
  __Pyx_GIVEREF(__pyx_tuple__14);
 
  /* "ADR.pyx":797
 *         self.ebqe['penalty'] = numpy.zeros((self.mesh.nExteriorElementBoundaries_global,self.nElementBoundaryQuadraturePoints_elementBoundary),'d')
 *         self.ebqe[('u',0)] = numpy.zeros((self.mesh.nExteriorElementBoundaries_global,self.nElementBoundaryQuadraturePoints_elementBoundary),'d')
 *         self.ebqe[('diffusiveFlux_bc_flag',0,0)] = numpy.zeros((self.mesh.nExteriorElementBoundaries_global,self.nElementBoundaryQuadraturePoints_elementBoundary),'i')             # <<<<<<<<<<<<<<
 *         self.ebqe[('diffusiveFlux_bc',0,0)] = numpy.zeros((self.mesh.nExteriorElementBoundaries_global,self.nElementBoundaryQuadraturePoints_elementBoundary),'d')
 *         self.ebqe[('advectiveFlux_bc_flag',0)] = numpy.zeros((self.mesh.nExteriorElementBoundaries_global,self.nElementBoundaryQuadraturePoints_elementBoundary),'i')
 */
  __pyx_tuple__15 = PyTuple_Pack(3, __pyx_n_s_diffusiveFlux_bc_flag, __pyx_int_0, __pyx_int_0); if (unlikely(!__pyx_tuple__15)) __PYX_ERR(1, 797, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__15);
  __Pyx_GIVEREF(__pyx_tuple__15);
 
  /* "ADR.pyx":798
 *         self.ebqe[('u',0)] = numpy.zeros((self.mesh.nExteriorElementBoundaries_global,self.nElementBoundaryQuadraturePoints_elementBoundary),'d')
 *         self.ebqe[('diffusiveFlux_bc_flag',0,0)] = numpy.zeros((self.mesh.nExteriorElementBoundaries_global,self.nElementBoundaryQuadraturePoints_elementBoundary),'i')
 *         self.ebqe[('diffusiveFlux_bc',0,0)] = numpy.zeros((self.mesh.nExteriorElementBoundaries_global,self.nElementBoundaryQuadraturePoints_elementBoundary),'d')             # <<<<<<<<<<<<<<
 *         self.ebqe[('advectiveFlux_bc_flag',0)] = numpy.zeros((self.mesh.nExteriorElementBoundaries_global,self.nElementBoundaryQuadraturePoints_elementBoundary),'i')
 *         self.ebqe[('advectiveFlux_bc',0)] = numpy.zeros((self.mesh.nExteriorElementBoundaries_global,self.nElementBoundaryQuadraturePoints_elementBoundary),'d')
 */
  __pyx_tuple__16 = PyTuple_Pack(3, __pyx_n_s_diffusiveFlux_bc, __pyx_int_0, __pyx_int_0); if (unlikely(!__pyx_tuple__16)) __PYX_ERR(1, 798, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__16);
  __Pyx_GIVEREF(__pyx_tuple__16);
 
  /* "ADR.pyx":799
 *         self.ebqe[('diffusiveFlux_bc_flag',0,0)] = numpy.zeros((self.mesh.nExteriorElementBoundaries_global,self.nElementBoundaryQuadraturePoints_elementBoundary),'i')
 *         self.ebqe[('diffusiveFlux_bc',0,0)] = numpy.zeros((self.mesh.nExteriorElementBoundaries_global,self.nElementBoundaryQuadraturePoints_elementBoundary),'d')
 *         self.ebqe[('advectiveFlux_bc_flag',0)] = numpy.zeros((self.mesh.nExteriorElementBoundaries_global,self.nElementBoundaryQuadraturePoints_elementBoundary),'i')             # <<<<<<<<<<<<<<
 *         self.ebqe[('advectiveFlux_bc',0)] = numpy.zeros((self.mesh.nExteriorElementBoundaries_global,self.nElementBoundaryQuadraturePoints_elementBoundary),'d')
 *         self.ebqe[('grad(u)',0)] = numpy.zeros((self.mesh.nExteriorElementBoundaries_global,self.nElementBoundaryQuadraturePoints_elementBoundary,self.nSpace_global),'d')
 */
  __pyx_tuple__17 = PyTuple_Pack(2, __pyx_n_s_advectiveFlux_bc_flag, __pyx_int_0); if (unlikely(!__pyx_tuple__17)) __PYX_ERR(1, 799, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__17);
  __Pyx_GIVEREF(__pyx_tuple__17);
 
  /* "ADR.pyx":800
 *         self.ebqe[('diffusiveFlux_bc',0,0)] = numpy.zeros((self.mesh.nExteriorElementBoundaries_global,self.nElementBoundaryQuadraturePoints_elementBoundary),'d')
 *         self.ebqe[('advectiveFlux_bc_flag',0)] = numpy.zeros((self.mesh.nExteriorElementBoundaries_global,self.nElementBoundaryQuadraturePoints_elementBoundary),'i')
 *         self.ebqe[('advectiveFlux_bc',0)] = numpy.zeros((self.mesh.nExteriorElementBoundaries_global,self.nElementBoundaryQuadraturePoints_elementBoundary),'d')             # <<<<<<<<<<<<<<
 *         self.ebqe[('grad(u)',0)] = numpy.zeros((self.mesh.nExteriorElementBoundaries_global,self.nElementBoundaryQuadraturePoints_elementBoundary,self.nSpace_global),'d')
 *         self.ebqe[('a',0,0)] = numpy.zeros((self.mesh.nExteriorElementBoundaries_global,self.nElementBoundaryQuadraturePoints_elementBoundary,self.coefficients.sdInfo[(0,0)][0][-1]),'d')
 */
  __pyx_tuple__18 = PyTuple_Pack(2, __pyx_n_s_advectiveFlux_bc, __pyx_int_0); if (unlikely(!__pyx_tuple__18)) __PYX_ERR(1, 800, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__18);
  __Pyx_GIVEREF(__pyx_tuple__18);
 
  /* "ADR.pyx":810
 *         self.vectors_elementBoundaryQuadrature= set()
 *         self.tensors_elementBoundaryQuadrature= set()
 *         log(memory("element and element boundary Jacobians","OneLevelTransport"),level=4)             # <<<<<<<<<<<<<<
 *         self.inflowBoundaryBC = {}
 *         self.inflowBoundaryBC_values = {}
 */
  __pyx_tuple__19 = PyTuple_Pack(2, __pyx_kp_s_element_and_element_boundary_Jac, __pyx_n_s_OneLevelTransport); if (unlikely(!__pyx_tuple__19)) __PYX_ERR(1, 810, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__19);
  __Pyx_GIVEREF(__pyx_tuple__19);
 
  /* "ADR.pyx":836
 *         del self.internalNodes
 *         self.internalNodes = None
 *         log("Updating local to global mappings",2)             # <<<<<<<<<<<<<<
 *         self.updateLocal2Global()
 *         log("Building time integration object",2)
 */
  __pyx_tuple__20 = PyTuple_Pack(2, __pyx_kp_s_Updating_local_to_global_mapping, __pyx_int_2); if (unlikely(!__pyx_tuple__20)) __PYX_ERR(1, 836, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__20);
  __Pyx_GIVEREF(__pyx_tuple__20);
 
  /* "ADR.pyx":838
 *         log("Updating local to global mappings",2)
 *         self.updateLocal2Global()
 *         log("Building time integration object",2)             # <<<<<<<<<<<<<<
 *         log(memory("inflowBC, internalNodes,updateLocal2Global","OneLevelTransport"),level=4)
 *         #mwf for interpolating subgrid error for gradients etc
 */
  __pyx_tuple__21 = PyTuple_Pack(2, __pyx_kp_s_Building_time_integration_object, __pyx_int_2); if (unlikely(!__pyx_tuple__21)) __PYX_ERR(1, 838, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__21);
  __Pyx_GIVEREF(__pyx_tuple__21);
 
  /* "ADR.pyx":839
 *         self.updateLocal2Global()
 *         log("Building time integration object",2)
 *         log(memory("inflowBC, internalNodes,updateLocal2Global","OneLevelTransport"),level=4)             # <<<<<<<<<<<<<<
 *         #mwf for interpolating subgrid error for gradients etc
 *         if self.stabilization and self.stabilization.usesGradientStabilization:
 */
  __pyx_tuple__22 = PyTuple_Pack(2, __pyx_kp_s_inflowBC_internalNodes_updateLoc, __pyx_n_s_OneLevelTransport); if (unlikely(!__pyx_tuple__22)) __PYX_ERR(1, 839, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__22);
  __Pyx_GIVEREF(__pyx_tuple__22);
 
  /* "ADR.pyx":848
 *         if options is not None:
 *             self.timeIntegration.setFromOptions(options)
 *         log(memory("TimeIntegration","OneLevelTransport"),level=4)             # <<<<<<<<<<<<<<
 *         log("Calculating numerical quadrature formulas",2)
 *         self.calculateQuadrature()
 */
  __pyx_tuple__23 = PyTuple_Pack(2, __pyx_n_s_TimeIntegration, __pyx_n_s_OneLevelTransport); if (unlikely(!__pyx_tuple__23)) __PYX_ERR(1, 848, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__23);
  __Pyx_GIVEREF(__pyx_tuple__23);
 
  /* "ADR.pyx":849
 *             self.timeIntegration.setFromOptions(options)
 *         log(memory("TimeIntegration","OneLevelTransport"),level=4)
 *         log("Calculating numerical quadrature formulas",2)             # <<<<<<<<<<<<<<
 *         self.calculateQuadrature()
 * 
 */
  __pyx_tuple__24 = PyTuple_Pack(2, __pyx_kp_s_Calculating_numerical_quadrature, __pyx_int_2); if (unlikely(!__pyx_tuple__24)) __PYX_ERR(1, 849, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__24);
  __Pyx_GIVEREF(__pyx_tuple__24);
 
  /* "ADR.pyx":859
 *         self.setupFieldStrides()
 * 
 *         log(memory("stride+offset","OneLevelTransport"),level=4)             # <<<<<<<<<<<<<<
 *         if numericalFluxType is not None:
 *             if options is None or options.periodicDirichletConditions is None:
 */
  __pyx_tuple__25 = PyTuple_Pack(2, __pyx_kp_s_stride_offset, __pyx_n_s_OneLevelTransport); if (unlikely(!__pyx_tuple__25)) __PYX_ERR(1, 859, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__25);
  __Pyx_GIVEREF(__pyx_tuple__25);
 
  /* "ADR.pyx":887
 *                 for k in range(self.nElementBoundaryQuadraturePoints_elementBoundary):
 *                     self.ebqe['penalty'][ebNE,k] = self.numericalFlux.penalty_constant/self.mesh.elementBoundaryDiametersArray[ebN]**self.numericalFlux.penalty_power
 *         log(memory("numericalFlux","OneLevelTransport"),level=4)             # <<<<<<<<<<<<<<
 *         self.elementEffectiveDiametersArray  = self.mesh.elementInnerDiametersArray
 *         #use post processing tools to get conservative fluxes, None by default
 */
  __pyx_tuple__26 = PyTuple_Pack(2, __pyx_n_s_numericalFlux, __pyx_n_s_OneLevelTransport); if (unlikely(!__pyx_tuple__26)) __PYX_ERR(1, 887, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__26);
  __Pyx_GIVEREF(__pyx_tuple__26);
 
  /* "ADR.pyx":892
 *         from proteus import PostProcessingTools
 *         self.velocityPostProcessor = PostProcessingTools.VelocityPostProcessingChooser(self)
 *         log(memory("velocity postprocessor","OneLevelTransport"),level=4)             # <<<<<<<<<<<<<<
 *         #helper for writing out data storage
 *         from proteus import Archiver
 */
  __pyx_tuple__27 = PyTuple_Pack(2, __pyx_kp_s_velocity_postprocessor, __pyx_n_s_OneLevelTransport); if (unlikely(!__pyx_tuple__27)) __PYX_ERR(1, 892, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__27);
  __Pyx_GIVEREF(__pyx_tuple__27);
 
  /* "ADR.pyx":1004
 *             self.ebqe['penalty'],
 *             self.numericalFlux.boundaryAdjoint_sigma)
 *         log("Global residual",level=9,data=r)             # <<<<<<<<<<<<<<
 *         self.coefficients.massConservationError = fabs(globalSum(sum(r.flat[:self.mesh.nElements_owned])))
 *         log("   Mass Conservation Error",level=3,data=self.coefficients.massConservationError)
 */
  __pyx_tuple__28 = PyTuple_Pack(1, __pyx_kp_s_Global_residual); if (unlikely(!__pyx_tuple__28)) __PYX_ERR(1, 1004, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__28);
  __Pyx_GIVEREF(__pyx_tuple__28);
 
  /* "ADR.pyx":1006
 *         log("Global residual",level=9,data=r)
 *         self.coefficients.massConservationError = fabs(globalSum(sum(r.flat[:self.mesh.nElements_owned])))
 *         log("   Mass Conservation Error",level=3,data=self.coefficients.massConservationError)             # <<<<<<<<<<<<<<
 *         self.nonlinear_function_evaluations += 1
 *     def getJacobian(self,jacobian):
 */
  __pyx_tuple__29 = PyTuple_Pack(1, __pyx_kp_s_Mass_Conservation_Error); if (unlikely(!__pyx_tuple__29)) __PYX_ERR(1, 1006, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__29);
  __Pyx_GIVEREF(__pyx_tuple__29);
 
  /* "ADR.pyx":1069
 *             self.ebqe['penalty'],
 *             self.numericalFlux.boundaryAdjoint_sigma)
 *         log("Jacobian ",level=10,data=jacobian)             # <<<<<<<<<<<<<<
 *         #mwf decide if this is reasonable for solver statistics
 *         self.nonlinear_function_jacobian_evaluations += 1
 */
  __pyx_tuple__30 = PyTuple_Pack(1, __pyx_kp_s_Jacobian); if (unlikely(!__pyx_tuple__30)) __PYX_ERR(1, 1069, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__30);
  __Pyx_GIVEREF(__pyx_tuple__30);
 
  /* "linux/lib/python3.7/site-packages/Cython/Includes/numpy/__init__.pxd":272
 *             if ((flags & pybuf.PyBUF_C_CONTIGUOUS == pybuf.PyBUF_C_CONTIGUOUS)
 *                 and not PyArray_CHKFLAGS(self, NPY_ARRAY_C_CONTIGUOUS)):
 *                 raise ValueError(u"ndarray is not C contiguous")             # <<<<<<<<<<<<<<
 * 
 *             if ((flags & pybuf.PyBUF_F_CONTIGUOUS == pybuf.PyBUF_F_CONTIGUOUS)
 */
  __pyx_tuple__31 = PyTuple_Pack(1, __pyx_kp_u_ndarray_is_not_C_contiguous); if (unlikely(!__pyx_tuple__31)) __PYX_ERR(2, 272, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__31);
  __Pyx_GIVEREF(__pyx_tuple__31);
 
  /* "linux/lib/python3.7/site-packages/Cython/Includes/numpy/__init__.pxd":276
 *             if ((flags & pybuf.PyBUF_F_CONTIGUOUS == pybuf.PyBUF_F_CONTIGUOUS)
 *                 and not PyArray_CHKFLAGS(self, NPY_ARRAY_F_CONTIGUOUS)):
 *                 raise ValueError(u"ndarray is not Fortran contiguous")             # <<<<<<<<<<<<<<
 * 
 *             info.buf = PyArray_DATA(self)
 */
  __pyx_tuple__32 = PyTuple_Pack(1, __pyx_kp_u_ndarray_is_not_Fortran_contiguou); if (unlikely(!__pyx_tuple__32)) __PYX_ERR(2, 276, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__32);
  __Pyx_GIVEREF(__pyx_tuple__32);
 
  /* "linux/lib/python3.7/site-packages/Cython/Includes/numpy/__init__.pxd":306
 *                 if ((descr.byteorder == c'>' and little_endian) or
 *                     (descr.byteorder == c'<' and not little_endian)):
 *                     raise ValueError(u"Non-native byte order not supported")             # <<<<<<<<<<<<<<
 *                 if   t == NPY_BYTE:        f = "b"
 *                 elif t == NPY_UBYTE:       f = "B"
 */
  __pyx_tuple__33 = PyTuple_Pack(1, __pyx_kp_u_Non_native_byte_order_not_suppor); if (unlikely(!__pyx_tuple__33)) __PYX_ERR(2, 306, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__33);
  __Pyx_GIVEREF(__pyx_tuple__33);
 
  /* "linux/lib/python3.7/site-packages/Cython/Includes/numpy/__init__.pxd":856
 * 
 *         if (end - f) - <int>(new_offset - offset[0]) < 15:
 *             raise RuntimeError(u"Format string allocated too short, see comment in numpy.pxd")             # <<<<<<<<<<<<<<
 * 
 *         if ((child.byteorder == c'>' and little_endian) or
 */
  __pyx_tuple__34 = PyTuple_Pack(1, __pyx_kp_u_Format_string_allocated_too_shor); if (unlikely(!__pyx_tuple__34)) __PYX_ERR(2, 856, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__34);
  __Pyx_GIVEREF(__pyx_tuple__34);
 
  /* "linux/lib/python3.7/site-packages/Cython/Includes/numpy/__init__.pxd":880
 *             t = child.type_num
 *             if end - f < 5:
 *                 raise RuntimeError(u"Format string allocated too short.")             # <<<<<<<<<<<<<<
 * 
 *             # Until ticket #99 is fixed, use integers to avoid warnings
 */
  __pyx_tuple__35 = PyTuple_Pack(1, __pyx_kp_u_Format_string_allocated_too_shor_2); if (unlikely(!__pyx_tuple__35)) __PYX_ERR(2, 880, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__35);
  __Pyx_GIVEREF(__pyx_tuple__35);
 
  /* "linux/lib/python3.7/site-packages/Cython/Includes/numpy/__init__.pxd":1038
 *         _import_array()
 *     except Exception:
 *         raise ImportError("numpy.core.multiarray failed to import")             # <<<<<<<<<<<<<<
 * 
 * cdef inline int import_umath() except -1:
 */
  __pyx_tuple__36 = PyTuple_Pack(1, __pyx_kp_s_numpy_core_multiarray_failed_to); if (unlikely(!__pyx_tuple__36)) __PYX_ERR(2, 1038, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__36);
  __Pyx_GIVEREF(__pyx_tuple__36);
 
  /* "linux/lib/python3.7/site-packages/Cython/Includes/numpy/__init__.pxd":1044
 *         _import_umath()
 *     except Exception:
 *         raise ImportError("numpy.core.umath failed to import")             # <<<<<<<<<<<<<<
 * 
 * cdef inline int import_ufunc() except -1:
 */
  __pyx_tuple__37 = PyTuple_Pack(1, __pyx_kp_s_numpy_core_umath_failed_to_impor); if (unlikely(!__pyx_tuple__37)) __PYX_ERR(2, 1044, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__37);
  __Pyx_GIVEREF(__pyx_tuple__37);
 
  /* "ADR.pyx":394
 *     """
 * 
 *     def __init__(self,coefficients,nd):             # <<<<<<<<<<<<<<
 *         SGE_base.__init__(self,coefficients,nd,lag=False)
 *     def initializeElementQuadrature(self,mesh,t,cq):
 */
  __pyx_tuple__38 = PyTuple_Pack(3, __pyx_n_s_self, __pyx_n_s_coefficients, __pyx_n_s_nd); if (unlikely(!__pyx_tuple__38)) __PYX_ERR(1, 394, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_tuple__38);
  __Pyx_GIVEREF(__pyx_tuple__38);
  __pyx_codeobj__39 = (PyObject*)__Pyx_PyCode_New(3, 0, 3, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__38, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_proteus_ADR_pyx, __pyx_n_s_init, 394, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__39)) __PYX_ERR(1, 394, __pyx_L1_error)
 
  /* "ADR.pyx":396
 *     def __init__(self,coefficients,nd):
 *         SGE_base.__init__(self,coefficients,nd,lag=False)
 *     def initializeElementQuadrature(self,mesh,t,cq):             # <<<<<<<<<<<<<<
 *         pass
 *     def updateSubgridErrorHistory(self,initializationPhase=False):
 */
  __pyx_tuple__40 = PyTuple_Pack(4, __pyx_n_s_self, __pyx_n_s_mesh, __pyx_n_s_t, __pyx_n_s_cq); if (unlikely(!__pyx_tuple__40)) __PYX_ERR(1, 396, __pyx_L1_error)
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  /* "ADR.pyx":398
 *     def initializeElementQuadrature(self,mesh,t,cq):
 *         pass
 *     def updateSubgridErrorHistory(self,initializationPhase=False):             # <<<<<<<<<<<<<<
 *         pass
 *     def calculateSubgridError(self,q):
 */
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  /* "ADR.pyx":400
 *     def updateSubgridErrorHistory(self,initializationPhase=False):
 *         pass
 *     def calculateSubgridError(self,q):             # <<<<<<<<<<<<<<
 *         pass
 * 
 */
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  /* "ADR.pyx":410
 *        :parts: 2
 *     """
 *     def __init__(self,coefficients,nd,shockCapturingFactor=0.25,lag=True,nStepsToDelay=None):             # <<<<<<<<<<<<<<
 *         ShockCapturing_base.__init__(self,coefficients,nd,shockCapturingFactor,lag)
 *         self.nStepsToDelay = nStepsToDelay
 */
  __pyx_tuple__47 = PyTuple_Pack(6, __pyx_n_s_self, __pyx_n_s_coefficients, __pyx_n_s_nd, __pyx_n_s_shockCapturingFactor, __pyx_n_s_lag, __pyx_n_s_nStepsToDelay); if (unlikely(!__pyx_tuple__47)) __PYX_ERR(1, 410, __pyx_L1_error)
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  /* "ADR.pyx":418
 *             self.nStepsToDelay=1
 *             self.lag=False
 *     def initializeElementQuadrature(self,mesh,t,cq):             # <<<<<<<<<<<<<<
 *         self.mesh=mesh
 *         self.numDiff=[]
 */
  __pyx_tuple__50 = PyTuple_Pack(5, __pyx_n_s_self, __pyx_n_s_mesh, __pyx_n_s_t, __pyx_n_s_cq, __pyx_n_s_ci); if (unlikely(!__pyx_tuple__50)) __PYX_ERR(1, 418, __pyx_L1_error)
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  /* "ADR.pyx":425
 *             self.numDiff.append(cq[('numDiff',ci,ci)])
 *             self.numDiff_last.append(cq[('numDiff',ci,ci)])
 *     def updateShockCapturingHistory(self):             # <<<<<<<<<<<<<<
 *         self.nSteps += 1
 *         if self.lag:
 */
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  /* "ADR.pyx":439
 * 
 * class NumericalFlux_IIPG(proteus.NumericalFlux.Advection_DiagonalUpwind_Diffusion_IIPG_exterior):
 *     def __init__(self,vt,getPointwiseBoundaryConditions,             # <<<<<<<<<<<<<<
 *                  getAdvectiveFluxBoundaryConditions,
 *                  getDiffusiveFluxBoundaryConditions):
 */
  __pyx_tuple__54 = PyTuple_Pack(5, __pyx_n_s_self, __pyx_n_s_vt, __pyx_n_s_getPointwiseBoundaryConditions, __pyx_n_s_getAdvectiveFluxBoundaryConditio, __pyx_n_s_getDiffusiveFluxBoundaryConditio); if (unlikely(!__pyx_tuple__54)) __PYX_ERR(1, 439, __pyx_L1_error)
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  /* "ADR.pyx":447
 * 
 * class NumericalFlux_SIPG(proteus.NumericalFlux.Advection_DiagonalUpwind_Diffusion_SIPG_exterior):
 *     def __init__(self,vt,getPointwiseBoundaryConditions,             # <<<<<<<<<<<<<<
 *                  getAdvectiveFluxBoundaryConditions,
 *                  getDiffusiveFluxBoundaryConditions):
 */
  __pyx_tuple__56 = PyTuple_Pack(5, __pyx_n_s_self, __pyx_n_s_vt, __pyx_n_s_getPointwiseBoundaryConditions, __pyx_n_s_getAdvectiveFluxBoundaryConditio, __pyx_n_s_getDiffusiveFluxBoundaryConditio); if (unlikely(!__pyx_tuple__56)) __PYX_ERR(1, 447, __pyx_L1_error)
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  /* "ADR.pyx":455
 * 
 * class NumericalFlux_NIPG(proteus.NumericalFlux.Advection_DiagonalUpwind_Diffusion_NIPG_exterior):
 *     def __init__(self,vt,getPointwiseBoundaryConditions,             # <<<<<<<<<<<<<<
 *                  getAdvectiveFluxBoundaryConditions,
 *                  getDiffusiveFluxBoundaryConditions):
 */
  __pyx_tuple__58 = PyTuple_Pack(5, __pyx_n_s_self, __pyx_n_s_vt, __pyx_n_s_getPointwiseBoundaryConditions, __pyx_n_s_getAdvectiveFluxBoundaryConditio, __pyx_n_s_getDiffusiveFluxBoundaryConditio); if (unlikely(!__pyx_tuple__58)) __PYX_ERR(1, 455, __pyx_L1_error)
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  __pyx_codeobj__59 = (PyObject*)__Pyx_PyCode_New(5, 0, 5, 0, CO_OPTIMIZED|CO_NEWLOCALS, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__58, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_proteus_ADR_pyx, __pyx_n_s_init, 455, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__59)) __PYX_ERR(1, 455, __pyx_L1_error)
 
  /* "ADR.pyx":472
 *     """
 *     from proteus.ctransportCoefficients import L2projectEvaluate
 *     def __init__(self,aOfX,fOfX,velocity=None,nc=1,nd=2,l2proj=None,             # <<<<<<<<<<<<<<
 *                  timeVaryingCoefficients=False,
 *                  forceStrongDirichlet=False,
 */
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  /* "ADR.pyx":514
 *                          useSparseDiffusion=True,
 *                          movingDomain=False)
 *     def initializeElementQuadrature(self,t,cq):             # <<<<<<<<<<<<<<
 *         nd = self.nd
 *         for ci in range(self.nc):
 */
  __pyx_tuple__63 = PyTuple_Pack(6, __pyx_n_s_self, __pyx_n_s_t, __pyx_n_s_cq, __pyx_n_s_nd, __pyx_n_s_ci, __pyx_n_s_i); if (unlikely(!__pyx_tuple__63)) __PYX_ERR(1, 514, __pyx_L1_error)
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  /* "ADR.pyx":525
 *                 cq[('r',ci)].flat[i] = -self.fOfX[ci](cq['x'].flat[3*i:3*(i+1)])
 *                 cq[('a',ci,ci)].flat[nd*nd*i:nd*nd*(i+1)] = self.aOfX[ci](cq['x'].flat[3*i:3*(i+1)]).flat
 *     def initializeElementBoundaryQuadrature(self,t,cebq,cebq_global):             # <<<<<<<<<<<<<<
 *         nd = self.nd
 *         for c in [cebq,cebq_global]:
 */
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  /* "ADR.pyx":538
 *                         c[('r',ci)].flat[i] = -self.fOfX[ci](c['x'].flat[3*i:3*(i+1)])
 *                         c[('a',ci,ci)].flat[nd*nd*i:nd*nd*(i+1)] = self.aOfX[ci](c['x'].flat[3*i:3*(i+1)]).flat
 *     def initializeGlobalExteriorElementBoundaryQuadrature(self,t,cebqe):             # <<<<<<<<<<<<<<
 *         nd = self.nd
 *         for c in [cebqe]:
 */
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  /* "ADR.pyx":551
 *                         c[('r',ci)].flat[i] = -self.fOfX[ci](c['x'].flat[3*i:3*(i+1)])
 *                         c[('a',ci,ci)].flat[nd*nd*i:nd*nd*(i+1)] = self.aOfX[ci](c['x'].flat[3*i:3*(i+1)]).flat
 *     def evaluate(self,t,c):             # <<<<<<<<<<<<<<
 *         if self.timeVaryingCoefficients:
 *             nd = self.nd
 */
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  /* "ADR.pyx":571
 *     """
 *     nCalls=0
 *     def __init__(self,             # <<<<<<<<<<<<<<
 *                  uDict,
 *                  phiDict,
 */
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  /* "ADR.pyx":934
 *                         compKernelFlag)
 *     #mwf these are getting called by redistancing classes,
 *     def calculateCoefficients(self):             # <<<<<<<<<<<<<<
 *         pass
 *     def getResidual(self,u,r):
 */
  __pyx_tuple__74 = PyTuple_Pack(1, __pyx_n_s_self); if (unlikely(!__pyx_tuple__74)) __PYX_ERR(1, 934, __pyx_L1_error)
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  /* "ADR.pyx":936
 *     def calculateCoefficients(self):
 *         pass
 *     def getResidual(self,u,r):             # <<<<<<<<<<<<<<
 *         import pdb
 *         import copy
 */
  __pyx_tuple__76 = PyTuple_Pack(5, __pyx_n_s_self, __pyx_n_s_u, __pyx_n_s_r, __pyx_n_s_pdb, __pyx_n_s_copy); if (unlikely(!__pyx_tuple__76)) __PYX_ERR(1, 936, __pyx_L1_error)
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 * cdef extern from "ADR.h" namespace "proteus":
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 */
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  /* "ADR.pyx":1110
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  /* "ADR.pyx":1112
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 * """
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  /* "linux/lib/python3.7/site-packages/Cython/Includes/numpy/__init__.pxd":1046
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 * 
 * cdef inline int import_ufunc() except -1:             # <<<<<<<<<<<<<<
 *     try:
 *         _import_umath()
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  /*--- Wrapped vars code ---*/
 
  goto __pyx_L0;
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static __Pyx_RefNannyAPIStruct *__Pyx_RefNannyImportAPI(const char *modname) {
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/* PyObjectGetAttrStr */
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#if PY_MAJOR_VERSION < 3
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    return PyObject_GetAttr(obj, attr_name);
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/* GetBuiltinName */
static PyObject *__Pyx_GetBuiltinName(PyObject *name) {
    PyObject* result = __Pyx_PyObject_GetAttrStr(__pyx_b, name);
    if (unlikely(!result)) {
        PyErr_Format(PyExc_NameError,
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            "name '%U' is not defined", name);
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            "name '%.200s' is not defined", PyString_AS_STRING(name));
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/* RaiseArgTupleInvalid */
static void __Pyx_RaiseArgtupleInvalid(
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                 func_name, more_or_less, num_expected,
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/* RaiseDoubleKeywords */
static void __Pyx_RaiseDoubleKeywordsError(
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{
    PyErr_Format(PyExc_TypeError,
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        "%s() got multiple values for keyword argument '%U'", func_name, kw_name);
        #else
        "%s() got multiple values for keyword argument '%s'", func_name,
        PyString_AsString(kw_name));
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/* ParseKeywords */
static int __Pyx_ParseOptionalKeywords(
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    PyObject **argnames[],
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        #if PY_MAJOR_VERSION < 3
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            while (*name) {
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                #if !CYTHON_COMPILING_IN_PYPY && PY_MAJOR_VERSION >= 3
                    (PyUnicode_GET_SIZE(**name) != PyUnicode_GET_SIZE(key)) ? 1 :
                #endif
                    PyUnicode_Compare(**name, key);
                if (cmp < 0 && unlikely(PyErr_Occurred())) goto bad;
                if (cmp == 0) {
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                    break;
                }
                name++;
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            if (*name) continue;
            else {
                PyObject*** argname = argnames;
                while (argname != first_kw_arg) {
                    int cmp = (**argname == key) ? 0 :
                    #if !CYTHON_COMPILING_IN_PYPY && PY_MAJOR_VERSION >= 3
                        (PyUnicode_GET_SIZE(**argname) != PyUnicode_GET_SIZE(key)) ? 1 :
                    #endif
                        PyUnicode_Compare(**argname, key);
                    if (cmp < 0 && unlikely(PyErr_Occurred())) goto bad;
                    if (cmp == 0) goto arg_passed_twice;
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                }
            }
        } else
            goto invalid_keyword_type;
        if (kwds2) {
            if (unlikely(PyDict_SetItem(kwds2, key, value))) goto bad;
        } else {
            goto invalid_keyword;
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    }
    return 0;
arg_passed_twice:
    __Pyx_RaiseDoubleKeywordsError(function_name, key);
    goto bad;
invalid_keyword_type:
    PyErr_Format(PyExc_TypeError,
        "%.200s() keywords must be strings", function_name);
    goto bad;
invalid_keyword:
    PyErr_Format(PyExc_TypeError,
    #if PY_MAJOR_VERSION < 3
        "%.200s() got an unexpected keyword argument '%.200s'",
        function_name, PyString_AsString(key));
    #else
        "%s() got an unexpected keyword argument '%U'",
        function_name, key);
    #endif
bad:
    return -1;
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/* ArgTypeTest */
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        #if PY_MAJOR_VERSION == 2
        if ((type == &PyBaseString_Type) && likely(__Pyx_PyBaseString_CheckExact(obj))) return 1;
        #endif
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    else {
        if (likely(__Pyx_TypeCheck(obj, type))) return 1;
    }
    PyErr_Format(PyExc_TypeError,
        "Argument '%.200s' has incorrect type (expected %.200s, got %.200s)",
        name, type->tp_name, Py_TYPE(obj)->tp_name);
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}
 
/* PyFunctionFastCall */
#if CYTHON_FAST_PYCALL
static PyObject* __Pyx_PyFunction_FastCallNoKw(PyCodeObject *co, PyObject **args, Py_ssize_t na,
                                               PyObject *globals) {
    PyFrameObject *f;
    PyThreadState *tstate = __Pyx_PyThreadState_Current;
    PyObject **fastlocals;
    Py_ssize_t i;
    PyObject *result;
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    f = PyFrame_New(tstate, co, globals, NULL);
    if (f == NULL) {
        return NULL;
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    fastlocals = __Pyx_PyFrame_GetLocalsplus(f);
    for (i = 0; i < na; i++) {
        Py_INCREF(*args);
        fastlocals[i] = *args++;
    }
    result = PyEval_EvalFrameEx(f,0);
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    Py_DECREF(f);
    --tstate->recursion_depth;
    return result;
}
#if 1 || PY_VERSION_HEX < 0x030600B1
static PyObject *__Pyx_PyFunction_FastCallDict(PyObject *func, PyObject **args, int nargs, PyObject *kwargs) {
    PyCodeObject *co = (PyCodeObject *)PyFunction_GET_CODE(func);
    PyObject *globals = PyFunction_GET_GLOBALS(func);
    PyObject *argdefs = PyFunction_GET_DEFAULTS(func);
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#if PY_MAJOR_VERSION >= 3
    PyObject *kwdefs;
#endif
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#if PY_MAJOR_VERSION >= 3
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#endif
            likely(kwargs == NULL || nk == 0) &&
            co->co_flags == (CO_OPTIMIZED | CO_NEWLOCALS | CO_NOFREE)) {
        if (argdefs == NULL && co->co_argcount == nargs) {
            result = __Pyx_PyFunction_FastCallNoKw(co, args, nargs, globals);
            goto done;
        }
        else if (nargs == 0 && argdefs != NULL
                 && co->co_argcount == Py_SIZE(argdefs)) {
            /* function called with no arguments, but all parameters have
               a default value: use default values as arguments .*/
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            result =__Pyx_PyFunction_FastCallNoKw(co, args, Py_SIZE(argdefs), globals);
            goto done;
        }
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    if (kwargs != NULL) {
        Py_ssize_t pos, i;
        kwtuple = PyTuple_New(2 * nk);
        if (kwtuple == NULL) {
            result = NULL;
            goto done;
        }
        k = &PyTuple_GET_ITEM(kwtuple, 0);
        pos = i = 0;
        while (PyDict_Next(kwargs, &pos, &k[i], &k[i+1])) {
            Py_INCREF(k[i]);
            Py_INCREF(k[i+1]);
            i += 2;
        }
        nk = i / 2;
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        k = NULL;
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    closure = PyFunction_GET_CLOSURE(func);
#if PY_MAJOR_VERSION >= 3
    kwdefs = PyFunction_GET_KW_DEFAULTS(func);
#endif
    if (argdefs != NULL) {
        d = &PyTuple_GET_ITEM(argdefs, 0);
        nd = Py_SIZE(argdefs);
    }
    else {
        d = NULL;
        nd = 0;
    }
#if PY_MAJOR_VERSION >= 3
    result = PyEval_EvalCodeEx((PyObject*)co, globals, (PyObject *)NULL,
                               args, nargs,
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#else
    result = PyEval_EvalCodeEx(co, globals, (PyObject *)NULL,
                               args, nargs,
                               k, (int)nk,
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#endif
    Py_XDECREF(kwtuple);
done:
    Py_LeaveRecursiveCall();
    return result;
}
#endif
#endif
 
/* PyObjectCall */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_Call(PyObject *func, PyObject *arg, PyObject *kw) {
    PyObject *result;
    ternaryfunc call = func->ob_type->tp_call;
    if (unlikely(!call))
        return PyObject_Call(func, arg, kw);
    if (unlikely(Py_EnterRecursiveCall((char*)" while calling a Python object")))
        return NULL;
    result = (*call)(func, arg, kw);
    Py_LeaveRecursiveCall();
    if (unlikely(!result) && unlikely(!PyErr_Occurred())) {
        PyErr_SetString(
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/* PyObjectCallMethO */
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static CYTHON_INLINE PyObject* __Pyx_PyObject_CallMethO(PyObject *func, PyObject *arg) {
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    self = PyCFunction_GET_SELF(func);
    if (unlikely(Py_EnterRecursiveCall((char*)" while calling a Python object")))
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    result = cfunc(self, arg);
    Py_LeaveRecursiveCall();
    if (unlikely(!result) && unlikely(!PyErr_Occurred())) {
        PyErr_SetString(
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static CYTHON_INLINE PyObject* __Pyx_PyObject_CallNoArg(PyObject *func) {
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#ifdef __Pyx_CyFunction_USED
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static CYTHON_INLINE PyObject * __Pyx_PyCFunction_FastCall(PyObject *func_obj, PyObject **args, Py_ssize_t nargs) {
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    assert(METH_FASTCALL == (flags & ~(METH_CLASS | METH_STATIC | METH_COEXIST | METH_KEYWORDS | METH_STACKLESS)));
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/* PyObjectCallOneArg */
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static PyObject* __Pyx__PyObject_CallOneArg(PyObject *func, PyObject *arg) {
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static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg) {
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    return result;
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#endif
 
/* RaiseTooManyValuesToUnpack */
static CYTHON_INLINE void __Pyx_RaiseTooManyValuesError(Py_ssize_t expected) {
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/* RaiseNeedMoreValuesToUnpack */
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            PyErr_Clear();
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    return 0;
#endif
}
 
/* UnpackItemEndCheck */
static int __Pyx_IternextUnpackEndCheck(PyObject *retval, Py_ssize_t expected) {
    if (unlikely(retval)) {
        Py_DECREF(retval);
        __Pyx_RaiseTooManyValuesError(expected);
        return -1;
    } else {
        return __Pyx_IterFinish();
    }
    return 0;
}
 
/* ExtTypeTest */
static CYTHON_INLINE int __Pyx_TypeTest(PyObject *obj, PyTypeObject *type) {
    if (unlikely(!type)) {
        PyErr_SetString(PyExc_SystemError, "Missing type object");
        return 0;
    }
    if (likely(__Pyx_TypeCheck(obj, type)))
        return 1;
    PyErr_Format(PyExc_TypeError, "Cannot convert %.200s to %.200s",
                 Py_TYPE(obj)->tp_name, type->tp_name);
    return 0;
}
 
/* PyErrFetchRestore */
#if CYTHON_FAST_THREAD_STATE
static CYTHON_INLINE void __Pyx_ErrRestoreInState(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb) {
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    tmp_type = tstate->curexc_type;
    tmp_value = tstate->curexc_value;
    tmp_tb = tstate->curexc_traceback;
    tstate->curexc_type = type;
    tstate->curexc_value = value;
    tstate->curexc_traceback = tb;
    Py_XDECREF(tmp_type);
    Py_XDECREF(tmp_value);
    Py_XDECREF(tmp_tb);
}
static CYTHON_INLINE void __Pyx_ErrFetchInState(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
    *type = tstate->curexc_type;
    *value = tstate->curexc_value;
    *tb = tstate->curexc_traceback;
    tstate->curexc_type = 0;
    tstate->curexc_value = 0;
    tstate->curexc_traceback = 0;
}
#endif
 
/* RaiseException */
#if PY_MAJOR_VERSION < 3
static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb,
                        CYTHON_UNUSED PyObject *cause) {
    __Pyx_PyThreadState_declare
    Py_XINCREF(type);
    if (!value || value == Py_None)
        value = NULL;
    else
        Py_INCREF(value);
    if (!tb || tb == Py_None)
        tb = NULL;
    else {
        Py_INCREF(tb);
        if (!PyTraceBack_Check(tb)) {
            PyErr_SetString(PyExc_TypeError,
                "raise: arg 3 must be a traceback or None");
            goto raise_error;
        }
    }
    if (PyType_Check(type)) {
#if CYTHON_COMPILING_IN_PYPY
        if (!value) {
            Py_INCREF(Py_None);
            value = Py_None;
        }
#endif
        PyErr_NormalizeException(&type, &value, &tb);
    } else {
        if (value) {
            PyErr_SetString(PyExc_TypeError,
                "instance exception may not have a separate value");
            goto raise_error;
        }
        value = type;
        type = (PyObject*) Py_TYPE(type);
        Py_INCREF(type);
        if (!PyType_IsSubtype((PyTypeObject *)type, (PyTypeObject *)PyExc_BaseException)) {
            PyErr_SetString(PyExc_TypeError,
                "raise: exception class must be a subclass of BaseException");
            goto raise_error;
        }
    }
    __Pyx_PyThreadState_assign
    __Pyx_ErrRestore(type, value, tb);
    return;
raise_error:
    Py_XDECREF(value);
    Py_XDECREF(type);
    Py_XDECREF(tb);
    return;
}
#else
static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause) {
    PyObject* owned_instance = NULL;
    if (tb == Py_None) {
        tb = 0;
    } else if (tb && !PyTraceBack_Check(tb)) {
        PyErr_SetString(PyExc_TypeError,
            "raise: arg 3 must be a traceback or None");
        goto bad;
    }
    if (value == Py_None)
        value = 0;
    if (PyExceptionInstance_Check(type)) {
        if (value) {
            PyErr_SetString(PyExc_TypeError,
                "instance exception may not have a separate value");
            goto bad;
        }
        value = type;
        type = (PyObject*) Py_TYPE(value);
    } else if (PyExceptionClass_Check(type)) {
        PyObject *instance_class = NULL;
        if (value && PyExceptionInstance_Check(value)) {
            instance_class = (PyObject*) Py_TYPE(value);
            if (instance_class != type) {
                int is_subclass = PyObject_IsSubclass(instance_class, type);
                if (!is_subclass) {
                    instance_class = NULL;
                } else if (unlikely(is_subclass == -1)) {
                    goto bad;
                } else {
                    type = instance_class;
                }
            }
        }
        if (!instance_class) {
            PyObject *args;
            if (!value)
                args = PyTuple_New(0);
            else if (PyTuple_Check(value)) {
                Py_INCREF(value);
                args = value;
            } else
                args = PyTuple_Pack(1, value);
            if (!args)
                goto bad;
            owned_instance = PyObject_Call(type, args, NULL);
            Py_DECREF(args);
            if (!owned_instance)
                goto bad;
            value = owned_instance;
            if (!PyExceptionInstance_Check(value)) {
                PyErr_Format(PyExc_TypeError,
                             "calling %R should have returned an instance of "
                             "BaseException, not %R",
                             type, Py_TYPE(value));
                goto bad;
            }
        }
    } else {
        PyErr_SetString(PyExc_TypeError,
            "raise: exception class must be a subclass of BaseException");
        goto bad;
    }
    if (cause) {
        PyObject *fixed_cause;
        if (cause == Py_None) {
            fixed_cause = NULL;
        } else if (PyExceptionClass_Check(cause)) {
            fixed_cause = PyObject_CallObject(cause, NULL);
            if (fixed_cause == NULL)
                goto bad;
        } else if (PyExceptionInstance_Check(cause)) {
            fixed_cause = cause;
            Py_INCREF(fixed_cause);
        } else {
            PyErr_SetString(PyExc_TypeError,
                            "exception causes must derive from "
                            "BaseException");
            goto bad;
        }
        PyException_SetCause(value, fixed_cause);
    }
    PyErr_SetObject(type, value);
    if (tb) {
#if CYTHON_COMPILING_IN_PYPY
        PyObject *tmp_type, *tmp_value, *tmp_tb;
        PyErr_Fetch(&tmp_type, &tmp_value, &tmp_tb);
        Py_INCREF(tb);
        PyErr_Restore(tmp_type, tmp_value, tb);
        Py_XDECREF(tmp_tb);
#else
        PyThreadState *tstate = __Pyx_PyThreadState_Current;
        PyObject* tmp_tb = tstate->curexc_traceback;
        if (tb != tmp_tb) {
            Py_INCREF(tb);
            tstate->curexc_traceback = tb;
            Py_XDECREF(tmp_tb);
        }
#endif
    }
bad:
    Py_XDECREF(owned_instance);
    return;
}
#endif
 
/* GetModuleGlobalName */
#if CYTHON_USE_DICT_VERSIONS
static PyObject *__Pyx__GetModuleGlobalName(PyObject *name, PY_UINT64_T *dict_version, PyObject **dict_cached_value)
#else
static CYTHON_INLINE PyObject *__Pyx__GetModuleGlobalName(PyObject *name)
#endif
{
    PyObject *result;
#if !CYTHON_AVOID_BORROWED_REFS
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030500A1
    result = _PyDict_GetItem_KnownHash(__pyx_d, name, ((PyASCIIObject *) name)->hash);
    __PYX_UPDATE_DICT_CACHE(__pyx_d, result, *dict_cached_value, *dict_version)
    if (likely(result)) {
        return __Pyx_NewRef(result);
    } else if (unlikely(PyErr_Occurred())) {
        return NULL;
    }
#else
    result = PyDict_GetItem(__pyx_d, name);
    __PYX_UPDATE_DICT_CACHE(__pyx_d, result, *dict_cached_value, *dict_version)
    if (likely(result)) {
        return __Pyx_NewRef(result);
    }
#endif
#else
    result = PyObject_GetItem(__pyx_d, name);
    __PYX_UPDATE_DICT_CACHE(__pyx_d, result, *dict_cached_value, *dict_version)
    if (likely(result)) {
        return __Pyx_NewRef(result);
    }
    PyErr_Clear();
#endif
    return __Pyx_GetBuiltinName(name);
}
 
/* PyObjectSetAttrStr */
#if CYTHON_USE_TYPE_SLOTS
static CYTHON_INLINE int __Pyx_PyObject_SetAttrStr(PyObject* obj, PyObject* attr_name, PyObject* value) {
    PyTypeObject* tp = Py_TYPE(obj);
    if (likely(tp->tp_setattro))
        return tp->tp_setattro(obj, attr_name, value);
#if PY_MAJOR_VERSION < 3
    if (likely(tp->tp_setattr))
        return tp->tp_setattr(obj, PyString_AS_STRING(attr_name), value);
#endif
    return PyObject_SetAttr(obj, attr_name, value);
}
#endif
 
/* PyObjectCall2Args */
static CYTHON_UNUSED PyObject* __Pyx_PyObject_Call2Args(PyObject* function, PyObject* arg1, PyObject* arg2) {
    PyObject *args, *result = NULL;
    #if CYTHON_FAST_PYCALL
    if (PyFunction_Check(function)) {
        PyObject *args[2] = {arg1, arg2};
        return __Pyx_PyFunction_FastCall(function, args, 2);
    }
    #endif
    #if CYTHON_FAST_PYCCALL
    if (__Pyx_PyFastCFunction_Check(function)) {
        PyObject *args[2] = {arg1, arg2};
        return __Pyx_PyCFunction_FastCall(function, args, 2);
    }
    #endif
    args = PyTuple_New(2);
    if (unlikely(!args)) goto done;
    Py_INCREF(arg1);
    PyTuple_SET_ITEM(args, 0, arg1);
    Py_INCREF(arg2);
    PyTuple_SET_ITEM(args, 1, arg2);
    Py_INCREF(function);
    result = __Pyx_PyObject_Call(function, args, NULL);
    Py_DECREF(args);
    Py_DECREF(function);
done:
    return result;
}
 
/* PyObjectGetMethod */
static int __Pyx_PyObject_GetMethod(PyObject *obj, PyObject *name, PyObject **method) {
    PyObject *attr;
#if CYTHON_UNPACK_METHODS && CYTHON_COMPILING_IN_CPYTHON && CYTHON_USE_PYTYPE_LOOKUP
    PyTypeObject *tp = Py_TYPE(obj);
    PyObject *descr;
    descrgetfunc f = NULL;
    PyObject **dictptr, *dict;
    int meth_found = 0;
    assert (*method == NULL);
    if (unlikely(tp->tp_getattro != PyObject_GenericGetAttr)) {
        attr = __Pyx_PyObject_GetAttrStr(obj, name);
        goto try_unpack;
    }
    if (unlikely(tp->tp_dict == NULL) && unlikely(PyType_Ready(tp) < 0)) {
        return 0;
    }
    descr = _PyType_Lookup(tp, name);
    if (likely(descr != NULL)) {
        Py_INCREF(descr);
#if PY_MAJOR_VERSION >= 3
        #ifdef __Pyx_CyFunction_USED
        if (likely(PyFunction_Check(descr) || (Py_TYPE(descr) == &PyMethodDescr_Type) || __Pyx_CyFunction_Check(descr)))
        #else
        if (likely(PyFunction_Check(descr) || (Py_TYPE(descr) == &PyMethodDescr_Type)))
        #endif
#else
        #ifdef __Pyx_CyFunction_USED
        if (likely(PyFunction_Check(descr) || __Pyx_CyFunction_Check(descr)))
        #else
        if (likely(PyFunction_Check(descr)))
        #endif
#endif
        {
            meth_found = 1;
        } else {
            f = Py_TYPE(descr)->tp_descr_get;
            if (f != NULL && PyDescr_IsData(descr)) {
                attr = f(descr, obj, (PyObject *)Py_TYPE(obj));
                Py_DECREF(descr);
                goto try_unpack;
            }
        }
    }
    dictptr = _PyObject_GetDictPtr(obj);
    if (dictptr != NULL && (dict = *dictptr) != NULL) {
        Py_INCREF(dict);
        attr = __Pyx_PyDict_GetItemStr(dict, name);
        if (attr != NULL) {
            Py_INCREF(attr);
            Py_DECREF(dict);
            Py_XDECREF(descr);
            goto try_unpack;
        }
        Py_DECREF(dict);
    }
    if (meth_found) {
        *method = descr;
        return 1;
    }
    if (f != NULL) {
        attr = f(descr, obj, (PyObject *)Py_TYPE(obj));
        Py_DECREF(descr);
        goto try_unpack;
    }
    if (descr != NULL) {
        *method = descr;
        return 0;
    }
    PyErr_Format(PyExc_AttributeError,
#if PY_MAJOR_VERSION >= 3
                 "'%.50s' object has no attribute '%U'",
                 tp->tp_name, name);
#else
                 "'%.50s' object has no attribute '%.400s'",
                 tp->tp_name, PyString_AS_STRING(name));
#endif
    return 0;
#else
    attr = __Pyx_PyObject_GetAttrStr(obj, name);
    goto try_unpack;
#endif
try_unpack:
#if CYTHON_UNPACK_METHODS
    if (likely(attr) && PyMethod_Check(attr) && likely(PyMethod_GET_SELF(attr) == obj)) {
        PyObject *function = PyMethod_GET_FUNCTION(attr);
        Py_INCREF(function);
        Py_DECREF(attr);
        *method = function;
        return 1;
    }
#endif
    *method = attr;
    return 0;
}
 
/* PyObjectCallMethod1 */
static PyObject* __Pyx__PyObject_CallMethod1(PyObject* method, PyObject* arg) {
    PyObject *result = __Pyx_PyObject_CallOneArg(method, arg);
    Py_DECREF(method);
    return result;
}
static PyObject* __Pyx_PyObject_CallMethod1(PyObject* obj, PyObject* method_name, PyObject* arg) {
    PyObject *method = NULL, *result;
    int is_method = __Pyx_PyObject_GetMethod(obj, method_name, &method);
    if (likely(is_method)) {
        result = __Pyx_PyObject_Call2Args(method, obj, arg);
        Py_DECREF(method);
        return result;
    }
    if (unlikely(!method)) return NULL;
    return __Pyx__PyObject_CallMethod1(method, arg);
}
 
/* append */
static CYTHON_INLINE int __Pyx_PyObject_Append(PyObject* L, PyObject* x) {
    if (likely(PyList_CheckExact(L))) {
        if (unlikely(__Pyx_PyList_Append(L, x) < 0)) return -1;
    } else {
        PyObject* retval = __Pyx_PyObject_CallMethod1(L, __pyx_n_s_append, x);
        if (unlikely(!retval))
            return -1;
        Py_DECREF(retval);
    }
    return 0;
}
 
/* GetItemInt */
static PyObject *__Pyx_GetItemInt_Generic(PyObject *o, PyObject* j) {
    PyObject *r;
    if (!j) return NULL;
    r = PyObject_GetItem(o, j);
    Py_DECREF(j);
    return r;
}
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_List_Fast(PyObject *o, Py_ssize_t i,
                                                              CYTHON_NCP_UNUSED int wraparound,
                                                              CYTHON_NCP_UNUSED int boundscheck) {
#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    Py_ssize_t wrapped_i = i;
    if (wraparound & unlikely(i < 0)) {
        wrapped_i += PyList_GET_SIZE(o);
    }
    if ((!boundscheck) || likely(__Pyx_is_valid_index(wrapped_i, PyList_GET_SIZE(o)))) {
        PyObject *r = PyList_GET_ITEM(o, wrapped_i);
        Py_INCREF(r);
        return r;
    }
    return __Pyx_GetItemInt_Generic(o, PyInt_FromSsize_t(i));
#else
    return PySequence_GetItem(o, i);
#endif
}
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Tuple_Fast(PyObject *o, Py_ssize_t i,
                                                              CYTHON_NCP_UNUSED int wraparound,
                                                              CYTHON_NCP_UNUSED int boundscheck) {
#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    Py_ssize_t wrapped_i = i;
    if (wraparound & unlikely(i < 0)) {
        wrapped_i += PyTuple_GET_SIZE(o);
    }
    if ((!boundscheck) || likely(__Pyx_is_valid_index(wrapped_i, PyTuple_GET_SIZE(o)))) {
        PyObject *r = PyTuple_GET_ITEM(o, wrapped_i);
        Py_INCREF(r);
        return r;
    }
    return __Pyx_GetItemInt_Generic(o, PyInt_FromSsize_t(i));
#else
    return PySequence_GetItem(o, i);
#endif
}
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Fast(PyObject *o, Py_ssize_t i, int is_list,
                                                     CYTHON_NCP_UNUSED int wraparound,
                                                     CYTHON_NCP_UNUSED int boundscheck) {
#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS && CYTHON_USE_TYPE_SLOTS
    if (is_list || PyList_CheckExact(o)) {
        Py_ssize_t n = ((!wraparound) | likely(i >= 0)) ? i : i + PyList_GET_SIZE(o);
        if ((!boundscheck) || (likely(__Pyx_is_valid_index(n, PyList_GET_SIZE(o))))) {
            PyObject *r = PyList_GET_ITEM(o, n);
            Py_INCREF(r);
            return r;
        }
    }
    else if (PyTuple_CheckExact(o)) {
        Py_ssize_t n = ((!wraparound) | likely(i >= 0)) ? i : i + PyTuple_GET_SIZE(o);
        if ((!boundscheck) || likely(__Pyx_is_valid_index(n, PyTuple_GET_SIZE(o)))) {
            PyObject *r = PyTuple_GET_ITEM(o, n);
            Py_INCREF(r);
            return r;
        }
    } else {
        PySequenceMethods *m = Py_TYPE(o)->tp_as_sequence;
        if (likely(m && m->sq_item)) {
            if (wraparound && unlikely(i < 0) && likely(m->sq_length)) {
                Py_ssize_t l = m->sq_length(o);
                if (likely(l >= 0)) {
                    i += l;
                } else {
                    if (!PyErr_ExceptionMatches(PyExc_OverflowError))
                        return NULL;
                    PyErr_Clear();
                }
            }
            return m->sq_item(o, i);
        }
    }
#else
    if (is_list || PySequence_Check(o)) {
        return PySequence_GetItem(o, i);
    }
#endif
    return __Pyx_GetItemInt_Generic(o, PyInt_FromSsize_t(i));
}
 
/* ObjectGetItem */
#if CYTHON_USE_TYPE_SLOTS
static PyObject *__Pyx_PyObject_GetIndex(PyObject *obj, PyObject* index) {
    PyObject *runerr;
    Py_ssize_t key_value;
    PySequenceMethods *m = Py_TYPE(obj)->tp_as_sequence;
    if (unlikely(!(m && m->sq_item))) {
        PyErr_Format(PyExc_TypeError, "'%.200s' object is not subscriptable", Py_TYPE(obj)->tp_name);
        return NULL;
    }
    key_value = __Pyx_PyIndex_AsSsize_t(index);
    if (likely(key_value != -1 || !(runerr = PyErr_Occurred()))) {
        return __Pyx_GetItemInt_Fast(obj, key_value, 0, 1, 1);
    }
    if (PyErr_GivenExceptionMatches(runerr, PyExc_OverflowError)) {
        PyErr_Clear();
        PyErr_Format(PyExc_IndexError, "cannot fit '%.200s' into an index-sized integer", Py_TYPE(index)->tp_name);
    }
    return NULL;
}
static PyObject *__Pyx_PyObject_GetItem(PyObject *obj, PyObject* key) {
    PyMappingMethods *m = Py_TYPE(obj)->tp_as_mapping;
    if (likely(m && m->mp_subscript)) {
        return m->mp_subscript(obj, key);
    }
    return __Pyx_PyObject_GetIndex(obj, key);
}
#endif
 
/* PyIntBinop */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyInt_AddObjC(PyObject *op1, PyObject *op2, CYTHON_UNUSED long intval, CYTHON_UNUSED int inplace) {
    #if PY_MAJOR_VERSION < 3
    if (likely(PyInt_CheckExact(op1))) {
        const long b = intval;
        long x;
        long a = PyInt_AS_LONG(op1);
            x = (long)((unsigned long)a + b);
            if (likely((x^a) >= 0 || (x^b) >= 0))
                return PyInt_FromLong(x);
            return PyLong_Type.tp_as_number->nb_add(op1, op2);
    }
    #endif
    #if CYTHON_USE_PYLONG_INTERNALS
    if (likely(PyLong_CheckExact(op1))) {
        const long b = intval;
        long a, x;
#ifdef HAVE_LONG_LONG
        const PY_LONG_LONG llb = intval;
        PY_LONG_LONG lla, llx;
#endif
        const digit* digits = ((PyLongObject*)op1)->ob_digit;
        const Py_ssize_t size = Py_SIZE(op1);
        if (likely(__Pyx_sst_abs(size) <= 1)) {
            a = likely(size) ? digits[0] : 0;
            if (size == -1) a = -a;
        } else {
            switch (size) {
                case -2:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                        a = -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 2 * PyLong_SHIFT) {
                        lla = -(PY_LONG_LONG) (((((unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                    CYTHON_FALLTHROUGH;
                case 2:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                        a = (long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 2 * PyLong_SHIFT) {
                        lla = (PY_LONG_LONG) (((((unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                    CYTHON_FALLTHROUGH;
                case -3:
                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                        a = -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 3 * PyLong_SHIFT) {
                        lla = -(PY_LONG_LONG) (((((((unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                    CYTHON_FALLTHROUGH;
                case 3:
                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                        a = (long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 3 * PyLong_SHIFT) {
                        lla = (PY_LONG_LONG) (((((((unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                    CYTHON_FALLTHROUGH;
                case -4:
                    if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                        a = -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 4 * PyLong_SHIFT) {
                        lla = -(PY_LONG_LONG) (((((((((unsigned PY_LONG_LONG)digits[3]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                    CYTHON_FALLTHROUGH;
                case 4:
                    if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                        a = (long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 4 * PyLong_SHIFT) {
                        lla = (PY_LONG_LONG) (((((((((unsigned PY_LONG_LONG)digits[3]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                    CYTHON_FALLTHROUGH;
                default: return PyLong_Type.tp_as_number->nb_add(op1, op2);
            }
        }
                x = a + b;
            return PyLong_FromLong(x);
#ifdef HAVE_LONG_LONG
        long_long:
                llx = lla + llb;
            return PyLong_FromLongLong(llx);
#endif
        
        
    }
    #endif
    if (PyFloat_CheckExact(op1)) {
        const long b = intval;
        double a = PyFloat_AS_DOUBLE(op1);
            double result;
            PyFPE_START_PROTECT("add", return NULL)
            result = ((double)a) + (double)b;
            PyFPE_END_PROTECT(result)
            return PyFloat_FromDouble(result);
    }
    return (inplace ? PyNumber_InPlaceAdd : PyNumber_Add)(op1, op2);
}
#endif
 
/* SliceObject */
static CYTHON_INLINE int __Pyx_PyObject_SetSlice(PyObject* obj, PyObject* value,
        Py_ssize_t cstart, Py_ssize_t cstop,
        PyObject** _py_start, PyObject** _py_stop, PyObject** _py_slice,
        int has_cstart, int has_cstop, CYTHON_UNUSED int wraparound) {
#if CYTHON_USE_TYPE_SLOTS
    PyMappingMethods* mp;
#if PY_MAJOR_VERSION < 3
    PySequenceMethods* ms = Py_TYPE(obj)->tp_as_sequence;
    if (likely(ms && ms->sq_ass_slice)) {
        if (!has_cstart) {
            if (_py_start && (*_py_start != Py_None)) {
                cstart = __Pyx_PyIndex_AsSsize_t(*_py_start);
                if ((cstart == (Py_ssize_t)-1) && PyErr_Occurred()) goto bad;
            } else
                cstart = 0;
        }
        if (!has_cstop) {
            if (_py_stop && (*_py_stop != Py_None)) {
                cstop = __Pyx_PyIndex_AsSsize_t(*_py_stop);
                if ((cstop == (Py_ssize_t)-1) && PyErr_Occurred()) goto bad;
            } else
                cstop = PY_SSIZE_T_MAX;
        }
        if (wraparound && unlikely((cstart < 0) | (cstop < 0)) && likely(ms->sq_length)) {
            Py_ssize_t l = ms->sq_length(obj);
            if (likely(l >= 0)) {
                if (cstop < 0) {
                    cstop += l;
                    if (cstop < 0) cstop = 0;
                }
                if (cstart < 0) {
                    cstart += l;
                    if (cstart < 0) cstart = 0;
                }
            } else {
                if (!PyErr_ExceptionMatches(PyExc_OverflowError))
                    goto bad;
                PyErr_Clear();
            }
        }
        return ms->sq_ass_slice(obj, cstart, cstop, value);
    }
#endif
    mp = Py_TYPE(obj)->tp_as_mapping;
    if (likely(mp && mp->mp_ass_subscript))
#endif
    {
        int result;
        PyObject *py_slice, *py_start, *py_stop;
        if (_py_slice) {
            py_slice = *_py_slice;
        } else {
            PyObject* owned_start = NULL;
            PyObject* owned_stop = NULL;
            if (_py_start) {
                py_start = *_py_start;
            } else {
                if (has_cstart) {
                    owned_start = py_start = PyInt_FromSsize_t(cstart);
                    if (unlikely(!py_start)) goto bad;
                } else
                    py_start = Py_None;
            }
            if (_py_stop) {
                py_stop = *_py_stop;
            } else {
                if (has_cstop) {
                    owned_stop = py_stop = PyInt_FromSsize_t(cstop);
                    if (unlikely(!py_stop)) {
                        Py_XDECREF(owned_start);
                        goto bad;
                    }
                } else
                    py_stop = Py_None;
            }
            py_slice = PySlice_New(py_start, py_stop, Py_None);
            Py_XDECREF(owned_start);
            Py_XDECREF(owned_stop);
            if (unlikely(!py_slice)) goto bad;
        }
#if CYTHON_USE_TYPE_SLOTS
        result = mp->mp_ass_subscript(obj, py_slice, value);
#else
        result = value ? PyObject_SetItem(obj, py_slice, value) : PyObject_DelItem(obj, py_slice);
#endif
        if (!_py_slice) {
            Py_DECREF(py_slice);
        }
        return result;
    }
    PyErr_Format(PyExc_TypeError,
        "'%.200s' object does not support slice %.10s",
        Py_TYPE(obj)->tp_name, value ? "assignment" : "deletion");
bad:
    return -1;
}
 
/* DictGetItem */
#if PY_MAJOR_VERSION >= 3 && !CYTHON_COMPILING_IN_PYPY
static PyObject *__Pyx_PyDict_GetItem(PyObject *d, PyObject* key) {
    PyObject *value;
    value = PyDict_GetItemWithError(d, key);
    if (unlikely(!value)) {
        if (!PyErr_Occurred()) {
            if (unlikely(PyTuple_Check(key))) {
                PyObject* args = PyTuple_Pack(1, key);
                if (likely(args)) {
                    PyErr_SetObject(PyExc_KeyError, args);
                    Py_DECREF(args);
                }
            } else {
                PyErr_SetObject(PyExc_KeyError, key);
            }
        }
        return NULL;
    }
    Py_INCREF(value);
    return value;
}
#endif
 
/* SliceObject */
static CYTHON_INLINE PyObject* __Pyx_PyObject_GetSlice(PyObject* obj,
        Py_ssize_t cstart, Py_ssize_t cstop,
        PyObject** _py_start, PyObject** _py_stop, PyObject** _py_slice,
        int has_cstart, int has_cstop, CYTHON_UNUSED int wraparound) {
#if CYTHON_USE_TYPE_SLOTS
    PyMappingMethods* mp;
#if PY_MAJOR_VERSION < 3
    PySequenceMethods* ms = Py_TYPE(obj)->tp_as_sequence;
    if (likely(ms && ms->sq_slice)) {
        if (!has_cstart) {
            if (_py_start && (*_py_start != Py_None)) {
                cstart = __Pyx_PyIndex_AsSsize_t(*_py_start);
                if ((cstart == (Py_ssize_t)-1) && PyErr_Occurred()) goto bad;
            } else
                cstart = 0;
        }
        if (!has_cstop) {
            if (_py_stop && (*_py_stop != Py_None)) {
                cstop = __Pyx_PyIndex_AsSsize_t(*_py_stop);
                if ((cstop == (Py_ssize_t)-1) && PyErr_Occurred()) goto bad;
            } else
                cstop = PY_SSIZE_T_MAX;
        }
        if (wraparound && unlikely((cstart < 0) | (cstop < 0)) && likely(ms->sq_length)) {
            Py_ssize_t l = ms->sq_length(obj);
            if (likely(l >= 0)) {
                if (cstop < 0) {
                    cstop += l;
                    if (cstop < 0) cstop = 0;
                }
                if (cstart < 0) {
                    cstart += l;
                    if (cstart < 0) cstart = 0;
                }
            } else {
                if (!PyErr_ExceptionMatches(PyExc_OverflowError))
                    goto bad;
                PyErr_Clear();
            }
        }
        return ms->sq_slice(obj, cstart, cstop);
    }
#endif
    mp = Py_TYPE(obj)->tp_as_mapping;
    if (likely(mp && mp->mp_subscript))
#endif
    {
        PyObject* result;
        PyObject *py_slice, *py_start, *py_stop;
        if (_py_slice) {
            py_slice = *_py_slice;
        } else {
            PyObject* owned_start = NULL;
            PyObject* owned_stop = NULL;
            if (_py_start) {
                py_start = *_py_start;
            } else {
                if (has_cstart) {
                    owned_start = py_start = PyInt_FromSsize_t(cstart);
                    if (unlikely(!py_start)) goto bad;
                } else
                    py_start = Py_None;
            }
            if (_py_stop) {
                py_stop = *_py_stop;
            } else {
                if (has_cstop) {
                    owned_stop = py_stop = PyInt_FromSsize_t(cstop);
                    if (unlikely(!py_stop)) {
                        Py_XDECREF(owned_start);
                        goto bad;
                    }
                } else
                    py_stop = Py_None;
            }
            py_slice = PySlice_New(py_start, py_stop, Py_None);
            Py_XDECREF(owned_start);
            Py_XDECREF(owned_stop);
            if (unlikely(!py_slice)) goto bad;
        }
#if CYTHON_USE_TYPE_SLOTS
        result = mp->mp_subscript(obj, py_slice);
#else
        result = PyObject_GetItem(obj, py_slice);
#endif
        if (!_py_slice) {
            Py_DECREF(py_slice);
        }
        return result;
    }
    PyErr_Format(PyExc_TypeError,
        "'%.200s' object is unsliceable", Py_TYPE(obj)->tp_name);
bad:
    return NULL;
}
 
/* Import */
static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list, int level) {
    PyObject *empty_list = 0;
    PyObject *module = 0;
    PyObject *global_dict = 0;
    PyObject *empty_dict = 0;
    PyObject *list;
    #if PY_MAJOR_VERSION < 3
    PyObject *py_import;
    py_import = __Pyx_PyObject_GetAttrStr(__pyx_b, __pyx_n_s_import);
    if (!py_import)
        goto bad;
    #endif
    if (from_list)
        list = from_list;
    else {
        empty_list = PyList_New(0);
        if (!empty_list)
            goto bad;
        list = empty_list;
    }
    global_dict = PyModule_GetDict(__pyx_m);
    if (!global_dict)
        goto bad;
    empty_dict = PyDict_New();
    if (!empty_dict)
        goto bad;
    {
        #if PY_MAJOR_VERSION >= 3
        if (level == -1) {
            if (strchr(__Pyx_MODULE_NAME, '.')) {
                module = PyImport_ImportModuleLevelObject(
                    name, global_dict, empty_dict, list, 1);
                if (!module) {
                    if (!PyErr_ExceptionMatches(PyExc_ImportError))
                        goto bad;
                    PyErr_Clear();
                }
            }
            level = 0;
        }
        #endif
        if (!module) {
            #if PY_MAJOR_VERSION < 3
            PyObject *py_level = PyInt_FromLong(level);
            if (!py_level)
                goto bad;
            module = PyObject_CallFunctionObjArgs(py_import,
                name, global_dict, empty_dict, list, py_level, (PyObject *)NULL);
            Py_DECREF(py_level);
            #else
            module = PyImport_ImportModuleLevelObject(
                name, global_dict, empty_dict, list, level);
            #endif
        }
    }
bad:
    #if PY_MAJOR_VERSION < 3
    Py_XDECREF(py_import);
    #endif
    Py_XDECREF(empty_list);
    Py_XDECREF(empty_dict);
    return module;
}
 
/* ImportFrom */
static PyObject* __Pyx_ImportFrom(PyObject* module, PyObject* name) {
    PyObject* value = __Pyx_PyObject_GetAttrStr(module, name);
    if (unlikely(!value) && PyErr_ExceptionMatches(PyExc_AttributeError)) {
        PyErr_Format(PyExc_ImportError,
        #if PY_MAJOR_VERSION < 3
            "cannot import name %.230s", PyString_AS_STRING(name));
        #else
            "cannot import name %S", name);
        #endif
    }
    return value;
}
 
/* BytesEquals */
static CYTHON_INLINE int __Pyx_PyBytes_Equals(PyObject* s1, PyObject* s2, int equals) {
#if CYTHON_COMPILING_IN_PYPY
    return PyObject_RichCompareBool(s1, s2, equals);
#else
    if (s1 == s2) {
        return (equals == Py_EQ);
    } else if (PyBytes_CheckExact(s1) & PyBytes_CheckExact(s2)) {
        const char *ps1, *ps2;
        Py_ssize_t length = PyBytes_GET_SIZE(s1);
        if (length != PyBytes_GET_SIZE(s2))
            return (equals == Py_NE);
        ps1 = PyBytes_AS_STRING(s1);
        ps2 = PyBytes_AS_STRING(s2);
        if (ps1[0] != ps2[0]) {
            return (equals == Py_NE);
        } else if (length == 1) {
            return (equals == Py_EQ);
        } else {
            int result;
#if CYTHON_USE_UNICODE_INTERNALS
            Py_hash_t hash1, hash2;
            hash1 = ((PyBytesObject*)s1)->ob_shash;
            hash2 = ((PyBytesObject*)s2)->ob_shash;
            if (hash1 != hash2 && hash1 != -1 && hash2 != -1) {
                return (equals == Py_NE);
            }
#endif
            result = memcmp(ps1, ps2, (size_t)length);
            return (equals == Py_EQ) ? (result == 0) : (result != 0);
        }
    } else if ((s1 == Py_None) & PyBytes_CheckExact(s2)) {
        return (equals == Py_NE);
    } else if ((s2 == Py_None) & PyBytes_CheckExact(s1)) {
        return (equals == Py_NE);
    } else {
        int result;
        PyObject* py_result = PyObject_RichCompare(s1, s2, equals);
        if (!py_result)
            return -1;
        result = __Pyx_PyObject_IsTrue(py_result);
        Py_DECREF(py_result);
        return result;
    }
#endif
}
 
/* UnicodeEquals */
static CYTHON_INLINE int __Pyx_PyUnicode_Equals(PyObject* s1, PyObject* s2, int equals) {
#if CYTHON_COMPILING_IN_PYPY
    return PyObject_RichCompareBool(s1, s2, equals);
#else
#if PY_MAJOR_VERSION < 3
    PyObject* owned_ref = NULL;
#endif
    int s1_is_unicode, s2_is_unicode;
    if (s1 == s2) {
        goto return_eq;
    }
    s1_is_unicode = PyUnicode_CheckExact(s1);
    s2_is_unicode = PyUnicode_CheckExact(s2);
#if PY_MAJOR_VERSION < 3
    if ((s1_is_unicode & (!s2_is_unicode)) && PyString_CheckExact(s2)) {
        owned_ref = PyUnicode_FromObject(s2);
        if (unlikely(!owned_ref))
            return -1;
        s2 = owned_ref;
        s2_is_unicode = 1;
    } else if ((s2_is_unicode & (!s1_is_unicode)) && PyString_CheckExact(s1)) {
        owned_ref = PyUnicode_FromObject(s1);
        if (unlikely(!owned_ref))
            return -1;
        s1 = owned_ref;
        s1_is_unicode = 1;
    } else if (((!s2_is_unicode) & (!s1_is_unicode))) {
        return __Pyx_PyBytes_Equals(s1, s2, equals);
    }
#endif
    if (s1_is_unicode & s2_is_unicode) {
        Py_ssize_t length;
        int kind;
        void *data1, *data2;
        if (unlikely(__Pyx_PyUnicode_READY(s1) < 0) || unlikely(__Pyx_PyUnicode_READY(s2) < 0))
            return -1;
        length = __Pyx_PyUnicode_GET_LENGTH(s1);
        if (length != __Pyx_PyUnicode_GET_LENGTH(s2)) {
            goto return_ne;
        }
#if CYTHON_USE_UNICODE_INTERNALS
        {
            Py_hash_t hash1, hash2;
        #if CYTHON_PEP393_ENABLED
            hash1 = ((PyASCIIObject*)s1)->hash;
            hash2 = ((PyASCIIObject*)s2)->hash;
        #else
            hash1 = ((PyUnicodeObject*)s1)->hash;
            hash2 = ((PyUnicodeObject*)s2)->hash;
        #endif
            if (hash1 != hash2 && hash1 != -1 && hash2 != -1) {
                goto return_ne;
            }
        }
#endif
        kind = __Pyx_PyUnicode_KIND(s1);
        if (kind != __Pyx_PyUnicode_KIND(s2)) {
            goto return_ne;
        }
        data1 = __Pyx_PyUnicode_DATA(s1);
        data2 = __Pyx_PyUnicode_DATA(s2);
        if (__Pyx_PyUnicode_READ(kind, data1, 0) != __Pyx_PyUnicode_READ(kind, data2, 0)) {
            goto return_ne;
        } else if (length == 1) {
            goto return_eq;
        } else {
            int result = memcmp(data1, data2, (size_t)(length * kind));
            #if PY_MAJOR_VERSION < 3
            Py_XDECREF(owned_ref);
            #endif
            return (equals == Py_EQ) ? (result == 0) : (result != 0);
        }
    } else if ((s1 == Py_None) & s2_is_unicode) {
        goto return_ne;
    } else if ((s2 == Py_None) & s1_is_unicode) {
        goto return_ne;
    } else {
        int result;
        PyObject* py_result = PyObject_RichCompare(s1, s2, equals);
        #if PY_MAJOR_VERSION < 3
        Py_XDECREF(owned_ref);
        #endif
        if (!py_result)
            return -1;
        result = __Pyx_PyObject_IsTrue(py_result);
        Py_DECREF(py_result);
        return result;
    }
return_eq:
    #if PY_MAJOR_VERSION < 3
    Py_XDECREF(owned_ref);
    #endif
    return (equals == Py_EQ);
return_ne:
    #if PY_MAJOR_VERSION < 3
    Py_XDECREF(owned_ref);
    #endif
    return (equals == Py_NE);
#endif
}
 
/* PyIntCompare */
static CYTHON_INLINE PyObject* __Pyx_PyInt_EqObjC(PyObject *op1, PyObject *op2, CYTHON_UNUSED long intval, CYTHON_UNUSED long inplace) {
    if (op1 == op2) {
        Py_RETURN_TRUE;
    }
    #if PY_MAJOR_VERSION < 3
    if (likely(PyInt_CheckExact(op1))) {
        const long b = intval;
        long a = PyInt_AS_LONG(op1);
        if (a == b) Py_RETURN_TRUE; else Py_RETURN_FALSE;
    }
    #endif
    #if CYTHON_USE_PYLONG_INTERNALS
    if (likely(PyLong_CheckExact(op1))) {
        int unequal;
        unsigned long uintval;
        Py_ssize_t size = Py_SIZE(op1);
        const digit* digits = ((PyLongObject*)op1)->ob_digit;
        if (intval == 0) {
            if (size == 0) Py_RETURN_TRUE; else Py_RETURN_FALSE;
        } else if (intval < 0) {
            if (size >= 0)
                Py_RETURN_FALSE;
            intval = -intval;
            size = -size;
        } else {
            if (size <= 0)
                Py_RETURN_FALSE;
        }
        uintval = (unsigned long) intval;
#if PyLong_SHIFT * 4 < SIZEOF_LONG*8
        if (uintval >> (PyLong_SHIFT * 4)) {
            unequal = (size != 5) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[2] != ((uintval >> (2 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[3] != ((uintval >> (3 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[4] != ((uintval >> (4 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
        } else
#endif
#if PyLong_SHIFT * 3 < SIZEOF_LONG*8
        if (uintval >> (PyLong_SHIFT * 3)) {
            unequal = (size != 4) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[2] != ((uintval >> (2 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[3] != ((uintval >> (3 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
        } else
#endif
#if PyLong_SHIFT * 2 < SIZEOF_LONG*8
        if (uintval >> (PyLong_SHIFT * 2)) {
            unequal = (size != 3) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[2] != ((uintval >> (2 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
        } else
#endif
#if PyLong_SHIFT * 1 < SIZEOF_LONG*8
        if (uintval >> (PyLong_SHIFT * 1)) {
            unequal = (size != 2) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
        } else
#endif
            unequal = (size != 1) || (((unsigned long) digits[0]) != (uintval & (unsigned long) PyLong_MASK));
        if (unequal == 0) Py_RETURN_TRUE; else Py_RETURN_FALSE;
    }
    #endif
    if (PyFloat_CheckExact(op1)) {
        const long b = intval;
        double a = PyFloat_AS_DOUBLE(op1);
        if ((double)a == (double)b) Py_RETURN_TRUE; else Py_RETURN_FALSE;
    }
    return (
        PyObject_RichCompare(op1, op2, Py_EQ));
}
 
/* PyObjectCallMethod0 */
static PyObject* __Pyx_PyObject_CallMethod0(PyObject* obj, PyObject* method_name) {
    PyObject *method = NULL, *result = NULL;
    int is_method = __Pyx_PyObject_GetMethod(obj, method_name, &method);
    if (likely(is_method)) {
        result = __Pyx_PyObject_CallOneArg(method, obj);
        Py_DECREF(method);
        return result;
    }
    if (unlikely(!method)) goto bad;
    result = __Pyx_PyObject_CallNoArg(method);
    Py_DECREF(method);
bad:
    return result;
}
 
/* RaiseNoneIterError */
static CYTHON_INLINE void __Pyx_RaiseNoneNotIterableError(void) {
    PyErr_SetString(PyExc_TypeError, "'NoneType' object is not iterable");
}
 
/* UnpackTupleError */
static void __Pyx_UnpackTupleError(PyObject *t, Py_ssize_t index) {
    if (t == Py_None) {
      __Pyx_RaiseNoneNotIterableError();
    } else if (PyTuple_GET_SIZE(t) < index) {
      __Pyx_RaiseNeedMoreValuesError(PyTuple_GET_SIZE(t));
    } else {
      __Pyx_RaiseTooManyValuesError(index);
    }
}
 
/* UnpackTuple2 */
static CYTHON_INLINE int __Pyx_unpack_tuple2_exact(
        PyObject* tuple, PyObject** pvalue1, PyObject** pvalue2, int decref_tuple) {
    PyObject *value1 = NULL, *value2 = NULL;
#if CYTHON_COMPILING_IN_PYPY
    value1 = PySequence_ITEM(tuple, 0);  if (unlikely(!value1)) goto bad;
    value2 = PySequence_ITEM(tuple, 1);  if (unlikely(!value2)) goto bad;
#else
    value1 = PyTuple_GET_ITEM(tuple, 0);  Py_INCREF(value1);
    value2 = PyTuple_GET_ITEM(tuple, 1);  Py_INCREF(value2);
#endif
    if (decref_tuple) {
        Py_DECREF(tuple);
    }
    *pvalue1 = value1;
    *pvalue2 = value2;
    return 0;
#if CYTHON_COMPILING_IN_PYPY
bad:
    Py_XDECREF(value1);
    Py_XDECREF(value2);
    if (decref_tuple) { Py_XDECREF(tuple); }
    return -1;
#endif
}
static int __Pyx_unpack_tuple2_generic(PyObject* tuple, PyObject** pvalue1, PyObject** pvalue2,
                                       int has_known_size, int decref_tuple) {
    Py_ssize_t index;
    PyObject *value1 = NULL, *value2 = NULL, *iter = NULL;
    iternextfunc iternext;
    iter = PyObject_GetIter(tuple);
    if (unlikely(!iter)) goto bad;
    if (decref_tuple) { Py_DECREF(tuple); tuple = NULL; }
    iternext = Py_TYPE(iter)->tp_iternext;
    value1 = iternext(iter); if (unlikely(!value1)) { index = 0; goto unpacking_failed; }
    value2 = iternext(iter); if (unlikely(!value2)) { index = 1; goto unpacking_failed; }
    if (!has_known_size && unlikely(__Pyx_IternextUnpackEndCheck(iternext(iter), 2))) goto bad;
    Py_DECREF(iter);
    *pvalue1 = value1;
    *pvalue2 = value2;
    return 0;
unpacking_failed:
    if (!has_known_size && __Pyx_IterFinish() == 0)
        __Pyx_RaiseNeedMoreValuesError(index);
bad:
    Py_XDECREF(iter);
    Py_XDECREF(value1);
    Py_XDECREF(value2);
    if (decref_tuple) { Py_XDECREF(tuple); }
    return -1;
}
 
/* dict_iter */
static CYTHON_INLINE PyObject* __Pyx_dict_iterator(PyObject* iterable, int is_dict, PyObject* method_name,
                                                   Py_ssize_t* p_orig_length, int* p_source_is_dict) {
    is_dict = is_dict || likely(PyDict_CheckExact(iterable));
    *p_source_is_dict = is_dict;
    if (is_dict) {
#if !CYTHON_COMPILING_IN_PYPY
        *p_orig_length = PyDict_Size(iterable);
        Py_INCREF(iterable);
        return iterable;
#elif PY_MAJOR_VERSION >= 3
        static PyObject *py_items = NULL, *py_keys = NULL, *py_values = NULL;
        PyObject **pp = NULL;
        if (method_name) {
            const char *name = PyUnicode_AsUTF8(method_name);
            if (strcmp(name, "iteritems") == 0) pp = &py_items;
            else if (strcmp(name, "iterkeys") == 0) pp = &py_keys;
            else if (strcmp(name, "itervalues") == 0) pp = &py_values;
            if (pp) {
                if (!*pp) {
                    *pp = PyUnicode_FromString(name + 4);
                    if (!*pp)
                        return NULL;
                }
                method_name = *pp;
            }
        }
#endif
    }
    *p_orig_length = 0;
    if (method_name) {
        PyObject* iter;
        iterable = __Pyx_PyObject_CallMethod0(iterable, method_name);
        if (!iterable)
            return NULL;
#if !CYTHON_COMPILING_IN_PYPY
        if (PyTuple_CheckExact(iterable) || PyList_CheckExact(iterable))
            return iterable;
#endif
        iter = PyObject_GetIter(iterable);
        Py_DECREF(iterable);
        return iter;
    }
    return PyObject_GetIter(iterable);
}
static CYTHON_INLINE int __Pyx_dict_iter_next(
        PyObject* iter_obj, CYTHON_NCP_UNUSED Py_ssize_t orig_length, CYTHON_NCP_UNUSED Py_ssize_t* ppos,
        PyObject** pkey, PyObject** pvalue, PyObject** pitem, int source_is_dict) {
    PyObject* next_item;
#if !CYTHON_COMPILING_IN_PYPY
    if (source_is_dict) {
        PyObject *key, *value;
        if (unlikely(orig_length != PyDict_Size(iter_obj))) {
            PyErr_SetString(PyExc_RuntimeError, "dictionary changed size during iteration");
            return -1;
        }
        if (unlikely(!PyDict_Next(iter_obj, ppos, &key, &value))) {
            return 0;
        }
        if (pitem) {
            PyObject* tuple = PyTuple_New(2);
            if (unlikely(!tuple)) {
                return -1;
            }
            Py_INCREF(key);
            Py_INCREF(value);
            PyTuple_SET_ITEM(tuple, 0, key);
            PyTuple_SET_ITEM(tuple, 1, value);
            *pitem = tuple;
        } else {
            if (pkey) {
                Py_INCREF(key);
                *pkey = key;
            }
            if (pvalue) {
                Py_INCREF(value);
                *pvalue = value;
            }
        }
        return 1;
    } else if (PyTuple_CheckExact(iter_obj)) {
        Py_ssize_t pos = *ppos;
        if (unlikely(pos >= PyTuple_GET_SIZE(iter_obj))) return 0;
        *ppos = pos + 1;
        next_item = PyTuple_GET_ITEM(iter_obj, pos);
        Py_INCREF(next_item);
    } else if (PyList_CheckExact(iter_obj)) {
        Py_ssize_t pos = *ppos;
        if (unlikely(pos >= PyList_GET_SIZE(iter_obj))) return 0;
        *ppos = pos + 1;
        next_item = PyList_GET_ITEM(iter_obj, pos);
        Py_INCREF(next_item);
    } else
#endif
    {
        next_item = PyIter_Next(iter_obj);
        if (unlikely(!next_item)) {
            return __Pyx_IterFinish();
        }
    }
    if (pitem) {
        *pitem = next_item;
    } else if (pkey && pvalue) {
        if (__Pyx_unpack_tuple2(next_item, pkey, pvalue, source_is_dict, source_is_dict, 1))
            return -1;
    } else if (pkey) {
        *pkey = next_item;
    } else {
        *pvalue = next_item;
    }
    return 1;
}
 
/* GetTopmostException */
#if CYTHON_USE_EXC_INFO_STACK
static _PyErr_StackItem *
__Pyx_PyErr_GetTopmostException(PyThreadState *tstate)
{
    _PyErr_StackItem *exc_info = tstate->exc_info;
    while ((exc_info->exc_type == NULL || exc_info->exc_type == Py_None) &&
           exc_info->previous_item != NULL)
    {
        exc_info = exc_info->previous_item;
    }
    return exc_info;
}
#endif
 
/* SaveResetException */
#if CYTHON_FAST_THREAD_STATE
static CYTHON_INLINE void __Pyx__ExceptionSave(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
    #if CYTHON_USE_EXC_INFO_STACK
    _PyErr_StackItem *exc_info = __Pyx_PyErr_GetTopmostException(tstate);
    *type = exc_info->exc_type;
    *value = exc_info->exc_value;
    *tb = exc_info->exc_traceback;
    #else
    *type = tstate->exc_type;
    *value = tstate->exc_value;
    *tb = tstate->exc_traceback;
    #endif
    Py_XINCREF(*type);
    Py_XINCREF(*value);
    Py_XINCREF(*tb);
}
static CYTHON_INLINE void __Pyx__ExceptionReset(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb) {
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    #if CYTHON_USE_EXC_INFO_STACK
    _PyErr_StackItem *exc_info = tstate->exc_info;
    tmp_type = exc_info->exc_type;
    tmp_value = exc_info->exc_value;
    tmp_tb = exc_info->exc_traceback;
    exc_info->exc_type = type;
    exc_info->exc_value = value;
    exc_info->exc_traceback = tb;
    #else
    tmp_type = tstate->exc_type;
    tmp_value = tstate->exc_value;
    tmp_tb = tstate->exc_traceback;
    tstate->exc_type = type;
    tstate->exc_value = value;
    tstate->exc_traceback = tb;
    #endif
    Py_XDECREF(tmp_type);
    Py_XDECREF(tmp_value);
    Py_XDECREF(tmp_tb);
}
#endif
 
/* PyErrExceptionMatches */
#if CYTHON_FAST_THREAD_STATE
static int __Pyx_PyErr_ExceptionMatchesTuple(PyObject *exc_type, PyObject *tuple) {
    Py_ssize_t i, n;
    n = PyTuple_GET_SIZE(tuple);
#if PY_MAJOR_VERSION >= 3
    for (i=0; i<n; i++) {
        if (exc_type == PyTuple_GET_ITEM(tuple, i)) return 1;
    }
#endif
    for (i=0; i<n; i++) {
        if (__Pyx_PyErr_GivenExceptionMatches(exc_type, PyTuple_GET_ITEM(tuple, i))) return 1;
    }
    return 0;
}
static CYTHON_INLINE int __Pyx_PyErr_ExceptionMatchesInState(PyThreadState* tstate, PyObject* err) {
    PyObject *exc_type = tstate->curexc_type;
    if (exc_type == err) return 1;
    if (unlikely(!exc_type)) return 0;
    if (unlikely(PyTuple_Check(err)))
        return __Pyx_PyErr_ExceptionMatchesTuple(exc_type, err);
    return __Pyx_PyErr_GivenExceptionMatches(exc_type, err);
}
#endif
 
/* GetException */
#if CYTHON_FAST_THREAD_STATE
static int __Pyx__GetException(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb)
#else
static int __Pyx_GetException(PyObject **type, PyObject **value, PyObject **tb)
#endif
{
    PyObject *local_type, *local_value, *local_tb;
#if CYTHON_FAST_THREAD_STATE
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    local_type = tstate->curexc_type;
    local_value = tstate->curexc_value;
    local_tb = tstate->curexc_traceback;
    tstate->curexc_type = 0;
    tstate->curexc_value = 0;
    tstate->curexc_traceback = 0;
#else
    PyErr_Fetch(&local_type, &local_value, &local_tb);
#endif
    PyErr_NormalizeException(&local_type, &local_value, &local_tb);
#if CYTHON_FAST_THREAD_STATE
    if (unlikely(tstate->curexc_type))
#else
    if (unlikely(PyErr_Occurred()))
#endif
        goto bad;
    #if PY_MAJOR_VERSION >= 3
    if (local_tb) {
        if (unlikely(PyException_SetTraceback(local_value, local_tb) < 0))
            goto bad;
    }
    #endif
    Py_XINCREF(local_tb);
    Py_XINCREF(local_type);
    Py_XINCREF(local_value);
    *type = local_type;
    *value = local_value;
    *tb = local_tb;
#if CYTHON_FAST_THREAD_STATE
    #if CYTHON_USE_EXC_INFO_STACK
    {
        _PyErr_StackItem *exc_info = tstate->exc_info;
        tmp_type = exc_info->exc_type;
        tmp_value = exc_info->exc_value;
        tmp_tb = exc_info->exc_traceback;
        exc_info->exc_type = local_type;
        exc_info->exc_value = local_value;
        exc_info->exc_traceback = local_tb;
    }
    #else
    tmp_type = tstate->exc_type;
    tmp_value = tstate->exc_value;
    tmp_tb = tstate->exc_traceback;
    tstate->exc_type = local_type;
    tstate->exc_value = local_value;
    tstate->exc_traceback = local_tb;
    #endif
    Py_XDECREF(tmp_type);
    Py_XDECREF(tmp_value);
    Py_XDECREF(tmp_tb);
#else
    PyErr_SetExcInfo(local_type, local_value, local_tb);
#endif
    return 0;
bad:
    *type = 0;
    *value = 0;
    *tb = 0;
    Py_XDECREF(local_type);
    Py_XDECREF(local_value);
    Py_XDECREF(local_tb);
    return -1;
}
 
/* PyObject_GenericGetAttrNoDict */
#if CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP && PY_VERSION_HEX < 0x03070000
static PyObject *__Pyx_RaiseGenericGetAttributeError(PyTypeObject *tp, PyObject *attr_name) {
    PyErr_Format(PyExc_AttributeError,
#if PY_MAJOR_VERSION >= 3
                 "'%.50s' object has no attribute '%U'",
                 tp->tp_name, attr_name);
#else
                 "'%.50s' object has no attribute '%.400s'",
                 tp->tp_name, PyString_AS_STRING(attr_name));
#endif
    return NULL;
}
static CYTHON_INLINE PyObject* __Pyx_PyObject_GenericGetAttrNoDict(PyObject* obj, PyObject* attr_name) {
    PyObject *descr;
    PyTypeObject *tp = Py_TYPE(obj);
    if (unlikely(!PyString_Check(attr_name))) {
        return PyObject_GenericGetAttr(obj, attr_name);
    }
    assert(!tp->tp_dictoffset);
    descr = _PyType_Lookup(tp, attr_name);
    if (unlikely(!descr)) {
        return __Pyx_RaiseGenericGetAttributeError(tp, attr_name);
    }
    Py_INCREF(descr);
    #if PY_MAJOR_VERSION < 3
    if (likely(PyType_HasFeature(Py_TYPE(descr), Py_TPFLAGS_HAVE_CLASS)))
    #endif
    {
        descrgetfunc f = Py_TYPE(descr)->tp_descr_get;
        if (unlikely(f)) {
            PyObject *res = f(descr, obj, (PyObject *)tp);
            Py_DECREF(descr);
            return res;
        }
    }
    return descr;
}
#endif
 
/* PyObject_GenericGetAttr */
#if CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP && PY_VERSION_HEX < 0x03070000
static PyObject* __Pyx_PyObject_GenericGetAttr(PyObject* obj, PyObject* attr_name) {
    if (unlikely(Py_TYPE(obj)->tp_dictoffset)) {
        return PyObject_GenericGetAttr(obj, attr_name);
    }
    return __Pyx_PyObject_GenericGetAttrNoDict(obj, attr_name);
}
#endif
 
/* SetupReduce */
static int __Pyx_setup_reduce_is_named(PyObject* meth, PyObject* name) {
  int ret;
  PyObject *name_attr;
  name_attr = __Pyx_PyObject_GetAttrStr(meth, __pyx_n_s_name_2);
  if (likely(name_attr)) {
      ret = PyObject_RichCompareBool(name_attr, name, Py_EQ);
  } else {
      ret = -1;
  }
  if (unlikely(ret < 0)) {
      PyErr_Clear();
      ret = 0;
  }
  Py_XDECREF(name_attr);
  return ret;
}
static int __Pyx_setup_reduce(PyObject* type_obj) {
    int ret = 0;
    PyObject *object_reduce = NULL;
    PyObject *object_reduce_ex = NULL;
    PyObject *reduce = NULL;
    PyObject *reduce_ex = NULL;
    PyObject *reduce_cython = NULL;
    PyObject *setstate = NULL;
    PyObject *setstate_cython = NULL;
#if CYTHON_USE_PYTYPE_LOOKUP
    if (_PyType_Lookup((PyTypeObject*)type_obj, __pyx_n_s_getstate)) goto GOOD;
#else
    if (PyObject_HasAttr(type_obj, __pyx_n_s_getstate)) goto GOOD;
#endif
#if CYTHON_USE_PYTYPE_LOOKUP
    object_reduce_ex = _PyType_Lookup(&PyBaseObject_Type, __pyx_n_s_reduce_ex); if (!object_reduce_ex) goto BAD;
#else
    object_reduce_ex = __Pyx_PyObject_GetAttrStr((PyObject*)&PyBaseObject_Type, __pyx_n_s_reduce_ex); if (!object_reduce_ex) goto BAD;
#endif
    reduce_ex = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_n_s_reduce_ex); if (unlikely(!reduce_ex)) goto BAD;
    if (reduce_ex == object_reduce_ex) {
#if CYTHON_USE_PYTYPE_LOOKUP
        object_reduce = _PyType_Lookup(&PyBaseObject_Type, __pyx_n_s_reduce); if (!object_reduce) goto BAD;
#else
        object_reduce = __Pyx_PyObject_GetAttrStr((PyObject*)&PyBaseObject_Type, __pyx_n_s_reduce); if (!object_reduce) goto BAD;
#endif
        reduce = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_n_s_reduce); if (unlikely(!reduce)) goto BAD;
        if (reduce == object_reduce || __Pyx_setup_reduce_is_named(reduce, __pyx_n_s_reduce_cython)) {
            reduce_cython = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_n_s_reduce_cython); if (unlikely(!reduce_cython)) goto BAD;
            ret = PyDict_SetItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_reduce, reduce_cython); if (unlikely(ret < 0)) goto BAD;
            ret = PyDict_DelItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_reduce_cython); if (unlikely(ret < 0)) goto BAD;
            setstate = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_n_s_setstate);
            if (!setstate) PyErr_Clear();
            if (!setstate || __Pyx_setup_reduce_is_named(setstate, __pyx_n_s_setstate_cython)) {
                setstate_cython = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_n_s_setstate_cython); if (unlikely(!setstate_cython)) goto BAD;
                ret = PyDict_SetItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_setstate, setstate_cython); if (unlikely(ret < 0)) goto BAD;
                ret = PyDict_DelItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_setstate_cython); if (unlikely(ret < 0)) goto BAD;
            }
            PyType_Modified((PyTypeObject*)type_obj);
        }
    }
    goto GOOD;
BAD:
    if (!PyErr_Occurred())
        PyErr_Format(PyExc_RuntimeError, "Unable to initialize pickling for %s", ((PyTypeObject*)type_obj)->tp_name);
    ret = -1;
GOOD:
#if !CYTHON_USE_PYTYPE_LOOKUP
    Py_XDECREF(object_reduce);
    Py_XDECREF(object_reduce_ex);
#endif
    Py_XDECREF(reduce);
    Py_XDECREF(reduce_ex);
    Py_XDECREF(reduce_cython);
    Py_XDECREF(setstate);
    Py_XDECREF(setstate_cython);
    return ret;
}
 
/* TypeImport */
#ifndef __PYX_HAVE_RT_ImportType
#define __PYX_HAVE_RT_ImportType
static PyTypeObject *__Pyx_ImportType(PyObject *module, const char *module_name, const char *class_name,
    size_t size, enum __Pyx_ImportType_CheckSize check_size)
{
    PyObject *result = 0;
    char warning[200];
    Py_ssize_t basicsize;
#ifdef Py_LIMITED_API
    PyObject *py_basicsize;
#endif
    result = PyObject_GetAttrString(module, class_name);
    if (!result)
        goto bad;
    if (!PyType_Check(result)) {
        PyErr_Format(PyExc_TypeError,
            "%.200s.%.200s is not a type object",
            module_name, class_name);
        goto bad;
    }
#ifndef Py_LIMITED_API
    basicsize = ((PyTypeObject *)result)->tp_basicsize;
#else
    py_basicsize = PyObject_GetAttrString(result, "__basicsize__");
    if (!py_basicsize)
        goto bad;
    basicsize = PyLong_AsSsize_t(py_basicsize);
    Py_DECREF(py_basicsize);
    py_basicsize = 0;
    if (basicsize == (Py_ssize_t)-1 && PyErr_Occurred())
        goto bad;
#endif
    if ((size_t)basicsize < size) {
        PyErr_Format(PyExc_ValueError,
            "%.200s.%.200s size changed, may indicate binary incompatibility. "
            "Expected %zd from C header, got %zd from PyObject",
            module_name, class_name, size, basicsize);
        goto bad;
    }
    if (check_size == __Pyx_ImportType_CheckSize_Error && (size_t)basicsize != size) {
        PyErr_Format(PyExc_ValueError,
            "%.200s.%.200s size changed, may indicate binary incompatibility. "
            "Expected %zd from C header, got %zd from PyObject",
            module_name, class_name, size, basicsize);
        goto bad;
    }
    else if (check_size == __Pyx_ImportType_CheckSize_Warn && (size_t)basicsize > size) {
        PyOS_snprintf(warning, sizeof(warning),
            "%s.%s size changed, may indicate binary incompatibility. "
            "Expected %zd from C header, got %zd from PyObject",
            module_name, class_name, size, basicsize);
        if (PyErr_WarnEx(NULL, warning, 0) < 0) goto bad;
    }
    return (PyTypeObject *)result;
bad:
    Py_XDECREF(result);
    return NULL;
}
#endif
 
/* CalculateMetaclass */
static PyObject *__Pyx_CalculateMetaclass(PyTypeObject *metaclass, PyObject *bases) {
    Py_ssize_t i, nbases = PyTuple_GET_SIZE(bases);
    for (i=0; i < nbases; i++) {
        PyTypeObject *tmptype;
        PyObject *tmp = PyTuple_GET_ITEM(bases, i);
        tmptype = Py_TYPE(tmp);
#if PY_MAJOR_VERSION < 3
        if (tmptype == &PyClass_Type)
            continue;
#endif
        if (!metaclass) {
            metaclass = tmptype;
            continue;
        }
        if (PyType_IsSubtype(metaclass, tmptype))
            continue;
        if (PyType_IsSubtype(tmptype, metaclass)) {
            metaclass = tmptype;
            continue;
        }
        PyErr_SetString(PyExc_TypeError,
                        "metaclass conflict: "
                        "the metaclass of a derived class "
                        "must be a (non-strict) subclass "
                        "of the metaclasses of all its bases");
        return NULL;
    }
    if (!metaclass) {
#if PY_MAJOR_VERSION < 3
        metaclass = &PyClass_Type;
#else
        metaclass = &PyType_Type;
#endif
    }
    Py_INCREF((PyObject*) metaclass);
    return (PyObject*) metaclass;
}
 
/* FetchCommonType */
static PyTypeObject* __Pyx_FetchCommonType(PyTypeObject* type) {
    PyObject* fake_module;
    PyTypeObject* cached_type = NULL;
    fake_module = PyImport_AddModule((char*) "_cython_" CYTHON_ABI);
    if (!fake_module) return NULL;
    Py_INCREF(fake_module);
    cached_type = (PyTypeObject*) PyObject_GetAttrString(fake_module, type->tp_name);
    if (cached_type) {
        if (!PyType_Check((PyObject*)cached_type)) {
            PyErr_Format(PyExc_TypeError,
                "Shared Cython type %.200s is not a type object",
                type->tp_name);
            goto bad;
        }
        if (cached_type->tp_basicsize != type->tp_basicsize) {
            PyErr_Format(PyExc_TypeError,
                "Shared Cython type %.200s has the wrong size, try recompiling",
                type->tp_name);
            goto bad;
        }
    } else {
        if (!PyErr_ExceptionMatches(PyExc_AttributeError)) goto bad;
        PyErr_Clear();
        if (PyType_Ready(type) < 0) goto bad;
        if (PyObject_SetAttrString(fake_module, type->tp_name, (PyObject*) type) < 0)
            goto bad;
        Py_INCREF(type);
        cached_type = type;
    }
done:
    Py_DECREF(fake_module);
    return cached_type;
bad:
    Py_XDECREF(cached_type);
    cached_type = NULL;
    goto done;
}
 
/* CythonFunction */
#include <structmember.h>
static PyObject *
__Pyx_CyFunction_get_doc(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *closure)
{
    if (unlikely(op->func_doc == NULL)) {
        if (op->func.m_ml->ml_doc) {
#if PY_MAJOR_VERSION >= 3
            op->func_doc = PyUnicode_FromString(op->func.m_ml->ml_doc);
#else
            op->func_doc = PyString_FromString(op->func.m_ml->ml_doc);
#endif
            if (unlikely(op->func_doc == NULL))
                return NULL;
        } else {
            Py_INCREF(Py_None);
            return Py_None;
        }
    }
    Py_INCREF(op->func_doc);
    return op->func_doc;
}
static int
__Pyx_CyFunction_set_doc(__pyx_CyFunctionObject *op, PyObject *value, CYTHON_UNUSED void *context)
{
    PyObject *tmp = op->func_doc;
    if (value == NULL) {
        value = Py_None;
    }
    Py_INCREF(value);
    op->func_doc = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_name(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *context)
{
    if (unlikely(op->func_name == NULL)) {
#if PY_MAJOR_VERSION >= 3
        op->func_name = PyUnicode_InternFromString(op->func.m_ml->ml_name);
#else
        op->func_name = PyString_InternFromString(op->func.m_ml->ml_name);
#endif
        if (unlikely(op->func_name == NULL))
            return NULL;
    }
    Py_INCREF(op->func_name);
    return op->func_name;
}
static int
__Pyx_CyFunction_set_name(__pyx_CyFunctionObject *op, PyObject *value, CYTHON_UNUSED void *context)
{
    PyObject *tmp;
#if PY_MAJOR_VERSION >= 3
    if (unlikely(value == NULL || !PyUnicode_Check(value)))
#else
    if (unlikely(value == NULL || !PyString_Check(value)))
#endif
    {
        PyErr_SetString(PyExc_TypeError,
                        "__name__ must be set to a string object");
        return -1;
    }
    tmp = op->func_name;
    Py_INCREF(value);
    op->func_name = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_qualname(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *context)
{
    Py_INCREF(op->func_qualname);
    return op->func_qualname;
}
static int
__Pyx_CyFunction_set_qualname(__pyx_CyFunctionObject *op, PyObject *value, CYTHON_UNUSED void *context)
{
    PyObject *tmp;
#if PY_MAJOR_VERSION >= 3
    if (unlikely(value == NULL || !PyUnicode_Check(value)))
#else
    if (unlikely(value == NULL || !PyString_Check(value)))
#endif
    {
        PyErr_SetString(PyExc_TypeError,
                        "__qualname__ must be set to a string object");
        return -1;
    }
    tmp = op->func_qualname;
    Py_INCREF(value);
    op->func_qualname = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_self(__pyx_CyFunctionObject *m, CYTHON_UNUSED void *closure)
{
    PyObject *self;
    self = m->func_closure;
    if (self == NULL)
        self = Py_None;
    Py_INCREF(self);
    return self;
}
static PyObject *
__Pyx_CyFunction_get_dict(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *context)
{
    if (unlikely(op->func_dict == NULL)) {
        op->func_dict = PyDict_New();
        if (unlikely(op->func_dict == NULL))
            return NULL;
    }
    Py_INCREF(op->func_dict);
    return op->func_dict;
}
static int
__Pyx_CyFunction_set_dict(__pyx_CyFunctionObject *op, PyObject *value, CYTHON_UNUSED void *context)
{
    PyObject *tmp;
    if (unlikely(value == NULL)) {
        PyErr_SetString(PyExc_TypeError,
               "function's dictionary may not be deleted");
        return -1;
    }
    if (unlikely(!PyDict_Check(value))) {
        PyErr_SetString(PyExc_TypeError,
               "setting function's dictionary to a non-dict");
        return -1;
    }
    tmp = op->func_dict;
    Py_INCREF(value);
    op->func_dict = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_globals(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *context)
{
    Py_INCREF(op->func_globals);
    return op->func_globals;
}
static PyObject *
__Pyx_CyFunction_get_closure(CYTHON_UNUSED __pyx_CyFunctionObject *op, CYTHON_UNUSED void *context)
{
    Py_INCREF(Py_None);
    return Py_None;
}
static PyObject *
__Pyx_CyFunction_get_code(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *context)
{
    PyObject* result = (op->func_code) ? op->func_code : Py_None;
    Py_INCREF(result);
    return result;
}
static int
__Pyx_CyFunction_init_defaults(__pyx_CyFunctionObject *op) {
    int result = 0;
    PyObject *res = op->defaults_getter((PyObject *) op);
    if (unlikely(!res))
        return -1;
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    op->defaults_tuple = PyTuple_GET_ITEM(res, 0);
    Py_INCREF(op->defaults_tuple);
    op->defaults_kwdict = PyTuple_GET_ITEM(res, 1);
    Py_INCREF(op->defaults_kwdict);
    #else
    op->defaults_tuple = PySequence_ITEM(res, 0);
    if (unlikely(!op->defaults_tuple)) result = -1;
    else {
        op->defaults_kwdict = PySequence_ITEM(res, 1);
        if (unlikely(!op->defaults_kwdict)) result = -1;
    }
    #endif
    Py_DECREF(res);
    return result;
}
static int
__Pyx_CyFunction_set_defaults(__pyx_CyFunctionObject *op, PyObject* value, CYTHON_UNUSED void *context) {
    PyObject* tmp;
    if (!value) {
        value = Py_None;
    } else if (value != Py_None && !PyTuple_Check(value)) {
        PyErr_SetString(PyExc_TypeError,
                        "__defaults__ must be set to a tuple object");
        return -1;
    }
    Py_INCREF(value);
    tmp = op->defaults_tuple;
    op->defaults_tuple = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_defaults(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *context) {
    PyObject* result = op->defaults_tuple;
    if (unlikely(!result)) {
        if (op->defaults_getter) {
            if (__Pyx_CyFunction_init_defaults(op) < 0) return NULL;
            result = op->defaults_tuple;
        } else {
            result = Py_None;
        }
    }
    Py_INCREF(result);
    return result;
}
static int
__Pyx_CyFunction_set_kwdefaults(__pyx_CyFunctionObject *op, PyObject* value, CYTHON_UNUSED void *context) {
    PyObject* tmp;
    if (!value) {
        value = Py_None;
    } else if (value != Py_None && !PyDict_Check(value)) {
        PyErr_SetString(PyExc_TypeError,
                        "__kwdefaults__ must be set to a dict object");
        return -1;
    }
    Py_INCREF(value);
    tmp = op->defaults_kwdict;
    op->defaults_kwdict = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_kwdefaults(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *context) {
    PyObject* result = op->defaults_kwdict;
    if (unlikely(!result)) {
        if (op->defaults_getter) {
            if (__Pyx_CyFunction_init_defaults(op) < 0) return NULL;
            result = op->defaults_kwdict;
        } else {
            result = Py_None;
        }
    }
    Py_INCREF(result);
    return result;
}
static int
__Pyx_CyFunction_set_annotations(__pyx_CyFunctionObject *op, PyObject* value, CYTHON_UNUSED void *context) {
    PyObject* tmp;
    if (!value || value == Py_None) {
        value = NULL;
    } else if (!PyDict_Check(value)) {
        PyErr_SetString(PyExc_TypeError,
                        "__annotations__ must be set to a dict object");
        return -1;
    }
    Py_XINCREF(value);
    tmp = op->func_annotations;
    op->func_annotations = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_annotations(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *context) {
    PyObject* result = op->func_annotations;
    if (unlikely(!result)) {
        result = PyDict_New();
        if (unlikely(!result)) return NULL;
        op->func_annotations = result;
    }
    Py_INCREF(result);
    return result;
}
static PyGetSetDef __pyx_CyFunction_getsets[] = {
    {(char *) "func_doc", (getter)__Pyx_CyFunction_get_doc, (setter)__Pyx_CyFunction_set_doc, 0, 0},
    {(char *) "__doc__",  (getter)__Pyx_CyFunction_get_doc, (setter)__Pyx_CyFunction_set_doc, 0, 0},
    {(char *) "func_name", (getter)__Pyx_CyFunction_get_name, (setter)__Pyx_CyFunction_set_name, 0, 0},
    {(char *) "__name__", (getter)__Pyx_CyFunction_get_name, (setter)__Pyx_CyFunction_set_name, 0, 0},
    {(char *) "__qualname__", (getter)__Pyx_CyFunction_get_qualname, (setter)__Pyx_CyFunction_set_qualname, 0, 0},
    {(char *) "__self__", (getter)__Pyx_CyFunction_get_self, 0, 0, 0},
    {(char *) "func_dict", (getter)__Pyx_CyFunction_get_dict, (setter)__Pyx_CyFunction_set_dict, 0, 0},
    {(char *) "__dict__", (getter)__Pyx_CyFunction_get_dict, (setter)__Pyx_CyFunction_set_dict, 0, 0},
    {(char *) "func_globals", (getter)__Pyx_CyFunction_get_globals, 0, 0, 0},
    {(char *) "__globals__", (getter)__Pyx_CyFunction_get_globals, 0, 0, 0},
    {(char *) "func_closure", (getter)__Pyx_CyFunction_get_closure, 0, 0, 0},
    {(char *) "__closure__", (getter)__Pyx_CyFunction_get_closure, 0, 0, 0},
    {(char *) "func_code", (getter)__Pyx_CyFunction_get_code, 0, 0, 0},
    {(char *) "__code__", (getter)__Pyx_CyFunction_get_code, 0, 0, 0},
    {(char *) "func_defaults", (getter)__Pyx_CyFunction_get_defaults, (setter)__Pyx_CyFunction_set_defaults, 0, 0},
    {(char *) "__defaults__", (getter)__Pyx_CyFunction_get_defaults, (setter)__Pyx_CyFunction_set_defaults, 0, 0},
    {(char *) "__kwdefaults__", (getter)__Pyx_CyFunction_get_kwdefaults, (setter)__Pyx_CyFunction_set_kwdefaults, 0, 0},
    {(char *) "__annotations__", (getter)__Pyx_CyFunction_get_annotations, (setter)__Pyx_CyFunction_set_annotations, 0, 0},
    {0, 0, 0, 0, 0}
};
static PyMemberDef __pyx_CyFunction_members[] = {
    {(char *) "__module__", T_OBJECT, offsetof(PyCFunctionObject, m_module), PY_WRITE_RESTRICTED, 0},
    {0, 0, 0,  0, 0}
};
static PyObject *
__Pyx_CyFunction_reduce(__pyx_CyFunctionObject *m, CYTHON_UNUSED PyObject *args)
{
#if PY_MAJOR_VERSION >= 3
    return PyUnicode_FromString(m->func.m_ml->ml_name);
#else
    return PyString_FromString(m->func.m_ml->ml_name);
#endif
}
static PyMethodDef __pyx_CyFunction_methods[] = {
    {"__reduce__", (PyCFunction)__Pyx_CyFunction_reduce, METH_VARARGS, 0},
    {0, 0, 0, 0}
};
#if PY_VERSION_HEX < 0x030500A0
#define __Pyx_CyFunction_weakreflist(cyfunc) ((cyfunc)->func_weakreflist)
#else
#define __Pyx_CyFunction_weakreflist(cyfunc) ((cyfunc)->func.m_weakreflist)
#endif
static PyObject *__Pyx_CyFunction_New(PyTypeObject *type, PyMethodDef *ml, int flags, PyObject* qualname,
                                      PyObject *closure, PyObject *module, PyObject* globals, PyObject* code) {
    __pyx_CyFunctionObject *op = PyObject_GC_New(__pyx_CyFunctionObject, type);
    if (op == NULL)
        return NULL;
    op->flags = flags;
    __Pyx_CyFunction_weakreflist(op) = NULL;
    op->func.m_ml = ml;
    op->func.m_self = (PyObject *) op;
    Py_XINCREF(closure);
    op->func_closure = closure;
    Py_XINCREF(module);
    op->func.m_module = module;
    op->func_dict = NULL;
    op->func_name = NULL;
    Py_INCREF(qualname);
    op->func_qualname = qualname;
    op->func_doc = NULL;
    op->func_classobj = NULL;
    op->func_globals = globals;
    Py_INCREF(op->func_globals);
    Py_XINCREF(code);
    op->func_code = code;
    op->defaults_pyobjects = 0;
    op->defaults = NULL;
    op->defaults_tuple = NULL;
    op->defaults_kwdict = NULL;
    op->defaults_getter = NULL;
    op->func_annotations = NULL;
    PyObject_GC_Track(op);
    return (PyObject *) op;
}
static int
__Pyx_CyFunction_clear(__pyx_CyFunctionObject *m)
{
    Py_CLEAR(m->func_closure);
    Py_CLEAR(m->func.m_module);
    Py_CLEAR(m->func_dict);
    Py_CLEAR(m->func_name);
    Py_CLEAR(m->func_qualname);
    Py_CLEAR(m->func_doc);
    Py_CLEAR(m->func_globals);
    Py_CLEAR(m->func_code);
    Py_CLEAR(m->func_classobj);
    Py_CLEAR(m->defaults_tuple);
    Py_CLEAR(m->defaults_kwdict);
    Py_CLEAR(m->func_annotations);
    if (m->defaults) {
        PyObject **pydefaults = __Pyx_CyFunction_Defaults(PyObject *, m);
        int i;
        for (i = 0; i < m->defaults_pyobjects; i++)
            Py_XDECREF(pydefaults[i]);
        PyObject_Free(m->defaults);
        m->defaults = NULL;
    }
    return 0;
}
static void __Pyx__CyFunction_dealloc(__pyx_CyFunctionObject *m)
{
    if (__Pyx_CyFunction_weakreflist(m) != NULL)
        PyObject_ClearWeakRefs((PyObject *) m);
    __Pyx_CyFunction_clear(m);
    PyObject_GC_Del(m);
}
static void __Pyx_CyFunction_dealloc(__pyx_CyFunctionObject *m)
{
    PyObject_GC_UnTrack(m);
    __Pyx__CyFunction_dealloc(m);
}
static int __Pyx_CyFunction_traverse(__pyx_CyFunctionObject *m, visitproc visit, void *arg)
{
    Py_VISIT(m->func_closure);
    Py_VISIT(m->func.m_module);
    Py_VISIT(m->func_dict);
    Py_VISIT(m->func_name);
    Py_VISIT(m->func_qualname);
    Py_VISIT(m->func_doc);
    Py_VISIT(m->func_globals);
    Py_VISIT(m->func_code);
    Py_VISIT(m->func_classobj);
    Py_VISIT(m->defaults_tuple);
    Py_VISIT(m->defaults_kwdict);
    if (m->defaults) {
        PyObject **pydefaults = __Pyx_CyFunction_Defaults(PyObject *, m);
        int i;
        for (i = 0; i < m->defaults_pyobjects; i++)
            Py_VISIT(pydefaults[i]);
    }
    return 0;
}
static PyObject *__Pyx_CyFunction_descr_get(PyObject *func, PyObject *obj, PyObject *type)
{
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    if (m->flags & __Pyx_CYFUNCTION_STATICMETHOD) {
        Py_INCREF(func);
        return func;
    }
    if (m->flags & __Pyx_CYFUNCTION_CLASSMETHOD) {
        if (type == NULL)
            type = (PyObject *)(Py_TYPE(obj));
        return __Pyx_PyMethod_New(func, type, (PyObject *)(Py_TYPE(type)));
    }
    if (obj == Py_None)
        obj = NULL;
    return __Pyx_PyMethod_New(func, obj, type);
}
static PyObject*
__Pyx_CyFunction_repr(__pyx_CyFunctionObject *op)
{
#if PY_MAJOR_VERSION >= 3
    return PyUnicode_FromFormat("<cyfunction %U at %p>",
                                op->func_qualname, (void *)op);
#else
    return PyString_FromFormat("<cyfunction %s at %p>",
                               PyString_AsString(op->func_qualname), (void *)op);
#endif
}
static PyObject * __Pyx_CyFunction_CallMethod(PyObject *func, PyObject *self, PyObject *arg, PyObject *kw) {
    PyCFunctionObject* f = (PyCFunctionObject*)func;
    PyCFunction meth = f->m_ml->ml_meth;
    Py_ssize_t size;
    switch (f->m_ml->ml_flags & (METH_VARARGS | METH_KEYWORDS | METH_NOARGS | METH_O)) {
    case METH_VARARGS:
        if (likely(kw == NULL || PyDict_Size(kw) == 0))
            return (*meth)(self, arg);
        break;
    case METH_VARARGS | METH_KEYWORDS:
        return (*(PyCFunctionWithKeywords)(void*)meth)(self, arg, kw);
    case METH_NOARGS:
        if (likely(kw == NULL || PyDict_Size(kw) == 0)) {
            size = PyTuple_GET_SIZE(arg);
            if (likely(size == 0))
                return (*meth)(self, NULL);
            PyErr_Format(PyExc_TypeError,
                "%.200s() takes no arguments (%" CYTHON_FORMAT_SSIZE_T "d given)",
                f->m_ml->ml_name, size);
            return NULL;
        }
        break;
    case METH_O:
        if (likely(kw == NULL || PyDict_Size(kw) == 0)) {
            size = PyTuple_GET_SIZE(arg);
            if (likely(size == 1)) {
                PyObject *result, *arg0;
                #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
                arg0 = PyTuple_GET_ITEM(arg, 0);
                #else
                arg0 = PySequence_ITEM(arg, 0); if (unlikely(!arg0)) return NULL;
                #endif
                result = (*meth)(self, arg0);
                #if !(CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS)
                Py_DECREF(arg0);
                #endif
                return result;
            }
            PyErr_Format(PyExc_TypeError,
                "%.200s() takes exactly one argument (%" CYTHON_FORMAT_SSIZE_T "d given)",
                f->m_ml->ml_name, size);
            return NULL;
        }
        break;
    default:
        PyErr_SetString(PyExc_SystemError, "Bad call flags in "
                        "__Pyx_CyFunction_Call. METH_OLDARGS is no "
                        "longer supported!");
        return NULL;
    }
    PyErr_Format(PyExc_TypeError, "%.200s() takes no keyword arguments",
                 f->m_ml->ml_name);
    return NULL;
}
static CYTHON_INLINE PyObject *__Pyx_CyFunction_Call(PyObject *func, PyObject *arg, PyObject *kw) {
    return __Pyx_CyFunction_CallMethod(func, ((PyCFunctionObject*)func)->m_self, arg, kw);
}
static PyObject *__Pyx_CyFunction_CallAsMethod(PyObject *func, PyObject *args, PyObject *kw) {
    PyObject *result;
    __pyx_CyFunctionObject *cyfunc = (__pyx_CyFunctionObject *) func;
    if ((cyfunc->flags & __Pyx_CYFUNCTION_CCLASS) && !(cyfunc->flags & __Pyx_CYFUNCTION_STATICMETHOD)) {
        Py_ssize_t argc;
        PyObject *new_args;
        PyObject *self;
        argc = PyTuple_GET_SIZE(args);
        new_args = PyTuple_GetSlice(args, 1, argc);
        if (unlikely(!new_args))
            return NULL;
        self = PyTuple_GetItem(args, 0);
        if (unlikely(!self)) {
            Py_DECREF(new_args);
            return NULL;
        }
        result = __Pyx_CyFunction_CallMethod(func, self, new_args, kw);
        Py_DECREF(new_args);
    } else {
        result = __Pyx_CyFunction_Call(func, args, kw);
    }
    return result;
}
static PyTypeObject __pyx_CyFunctionType_type = {
    PyVarObject_HEAD_INIT(0, 0)
    "cython_function_or_method",
    sizeof(__pyx_CyFunctionObject),
    0,
    (destructor) __Pyx_CyFunction_dealloc,
    0,
    0,
    0,
#if PY_MAJOR_VERSION < 3
    0,
#else
    0,
#endif
    (reprfunc) __Pyx_CyFunction_repr,
    0,
    0,
    0,
    0,
    __Pyx_CyFunction_CallAsMethod,
    0,
    0,
    0,
    0,
    Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC,
    0,
    (traverseproc) __Pyx_CyFunction_traverse,
    (inquiry) __Pyx_CyFunction_clear,
    0,
#if PY_VERSION_HEX < 0x030500A0
    offsetof(__pyx_CyFunctionObject, func_weakreflist),
#else
    offsetof(PyCFunctionObject, m_weakreflist),
#endif
    0,
    0,
    __pyx_CyFunction_methods,
    __pyx_CyFunction_members,
    __pyx_CyFunction_getsets,
    0,
    0,
    __Pyx_CyFunction_descr_get,
    0,
    offsetof(__pyx_CyFunctionObject, func_dict),
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
#if PY_VERSION_HEX >= 0x030400a1
    0,
#endif
};
static int __pyx_CyFunction_init(void) {
    __pyx_CyFunctionType = __Pyx_FetchCommonType(&__pyx_CyFunctionType_type);
    if (unlikely(__pyx_CyFunctionType == NULL)) {
        return -1;
    }
    return 0;
}
static CYTHON_INLINE void *__Pyx_CyFunction_InitDefaults(PyObject *func, size_t size, int pyobjects) {
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    m->defaults = PyObject_Malloc(size);
    if (unlikely(!m->defaults))
        return PyErr_NoMemory();
    memset(m->defaults, 0, size);
    m->defaults_pyobjects = pyobjects;
    return m->defaults;
}
static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsTuple(PyObject *func, PyObject *tuple) {
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    m->defaults_tuple = tuple;
    Py_INCREF(tuple);
}
static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsKwDict(PyObject *func, PyObject *dict) {
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    m->defaults_kwdict = dict;
    Py_INCREF(dict);
}
static CYTHON_INLINE void __Pyx_CyFunction_SetAnnotationsDict(PyObject *func, PyObject *dict) {
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    m->func_annotations = dict;
    Py_INCREF(dict);
}
 
/* Py3ClassCreate */
static PyObject *__Pyx_Py3MetaclassPrepare(PyObject *metaclass, PyObject *bases, PyObject *name,
                                           PyObject *qualname, PyObject *mkw, PyObject *modname, PyObject *doc) {
    PyObject *ns;
    if (metaclass) {
        PyObject *prep = __Pyx_PyObject_GetAttrStr(metaclass, __pyx_n_s_prepare);
        if (prep) {
            PyObject *pargs = PyTuple_Pack(2, name, bases);
            if (unlikely(!pargs)) {
                Py_DECREF(prep);
                return NULL;
            }
            ns = PyObject_Call(prep, pargs, mkw);
            Py_DECREF(prep);
            Py_DECREF(pargs);
        } else {
            if (unlikely(!PyErr_ExceptionMatches(PyExc_AttributeError)))
                return NULL;
            PyErr_Clear();
            ns = PyDict_New();
        }
    } else {
        ns = PyDict_New();
    }
    if (unlikely(!ns))
        return NULL;
    if (unlikely(PyObject_SetItem(ns, __pyx_n_s_module, modname) < 0)) goto bad;
    if (unlikely(PyObject_SetItem(ns, __pyx_n_s_qualname, qualname) < 0)) goto bad;
    if (unlikely(doc && PyObject_SetItem(ns, __pyx_n_s_doc, doc) < 0)) goto bad;
    return ns;
bad:
    Py_DECREF(ns);
    return NULL;
}
static PyObject *__Pyx_Py3ClassCreate(PyObject *metaclass, PyObject *name, PyObject *bases,
                                      PyObject *dict, PyObject *mkw,
                                      int calculate_metaclass, int allow_py2_metaclass) {
    PyObject *result, *margs;
    PyObject *owned_metaclass = NULL;
    if (allow_py2_metaclass) {
        owned_metaclass = PyObject_GetItem(dict, __pyx_n_s_metaclass);
        if (owned_metaclass) {
            metaclass = owned_metaclass;
        } else if (likely(PyErr_ExceptionMatches(PyExc_KeyError))) {
            PyErr_Clear();
        } else {
            return NULL;
        }
    }
    if (calculate_metaclass && (!metaclass || PyType_Check(metaclass))) {
        metaclass = __Pyx_CalculateMetaclass((PyTypeObject*) metaclass, bases);
        Py_XDECREF(owned_metaclass);
        if (unlikely(!metaclass))
            return NULL;
        owned_metaclass = metaclass;
    }
    margs = PyTuple_Pack(3, name, bases, dict);
    if (unlikely(!margs)) {
        result = NULL;
    } else {
        result = PyObject_Call(metaclass, margs, mkw);
        Py_DECREF(margs);
    }
    Py_XDECREF(owned_metaclass);
    return result;
}
 
/* CLineInTraceback */
#ifndef CYTHON_CLINE_IN_TRACEBACK
static int __Pyx_CLineForTraceback(PyThreadState *tstate, int c_line) {
    PyObject *use_cline;
    PyObject *ptype, *pvalue, *ptraceback;
#if CYTHON_COMPILING_IN_CPYTHON
    PyObject **cython_runtime_dict;
#endif
    if (unlikely(!__pyx_cython_runtime)) {
        return c_line;
    }
    __Pyx_ErrFetchInState(tstate, &ptype, &pvalue, &ptraceback);
#if CYTHON_COMPILING_IN_CPYTHON
    cython_runtime_dict = _PyObject_GetDictPtr(__pyx_cython_runtime);
    if (likely(cython_runtime_dict)) {
        __PYX_PY_DICT_LOOKUP_IF_MODIFIED(
            use_cline, *cython_runtime_dict,
            __Pyx_PyDict_GetItemStr(*cython_runtime_dict, __pyx_n_s_cline_in_traceback))
    } else
#endif
    {
      PyObject *use_cline_obj = __Pyx_PyObject_GetAttrStr(__pyx_cython_runtime, __pyx_n_s_cline_in_traceback);
      if (use_cline_obj) {
        use_cline = PyObject_Not(use_cline_obj) ? Py_False : Py_True;
        Py_DECREF(use_cline_obj);
      } else {
        PyErr_Clear();
        use_cline = NULL;
      }
    }
    if (!use_cline) {
        c_line = 0;
        PyObject_SetAttr(__pyx_cython_runtime, __pyx_n_s_cline_in_traceback, Py_False);
    }
    else if (use_cline == Py_False || (use_cline != Py_True && PyObject_Not(use_cline) != 0)) {
        c_line = 0;
    }
    __Pyx_ErrRestoreInState(tstate, ptype, pvalue, ptraceback);
    return c_line;
}
#endif
 
/* CodeObjectCache */
static int __pyx_bisect_code_objects(__Pyx_CodeObjectCacheEntry* entries, int count, int code_line) {
    int start = 0, mid = 0, end = count - 1;
    if (end >= 0 && code_line > entries[end].code_line) {
        return count;
    }
    while (start < end) {
        mid = start + (end - start) / 2;
        if (code_line < entries[mid].code_line) {
            end = mid;
        } else if (code_line > entries[mid].code_line) {
             start = mid + 1;
        } else {
            return mid;
        }
    }
    if (code_line <= entries[mid].code_line) {
        return mid;
    } else {
        return mid + 1;
    }
}
static PyCodeObject *__pyx_find_code_object(int code_line) {
    PyCodeObject* code_object;
    int pos;
    if (unlikely(!code_line) || unlikely(!__pyx_code_cache.entries)) {
        return NULL;
    }
    pos = __pyx_bisect_code_objects(__pyx_code_cache.entries, __pyx_code_cache.count, code_line);
    if (unlikely(pos >= __pyx_code_cache.count) || unlikely(__pyx_code_cache.entries[pos].code_line != code_line)) {
        return NULL;
    }
    code_object = __pyx_code_cache.entries[pos].code_object;
    Py_INCREF(code_object);
    return code_object;
}
static void __pyx_insert_code_object(int code_line, PyCodeObject* code_object) {
    int pos, i;
    __Pyx_CodeObjectCacheEntry* entries = __pyx_code_cache.entries;
    if (unlikely(!code_line)) {
        return;
    }
    if (unlikely(!entries)) {
        entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Malloc(64*sizeof(__Pyx_CodeObjectCacheEntry));
        if (likely(entries)) {
            __pyx_code_cache.entries = entries;
            __pyx_code_cache.max_count = 64;
            __pyx_code_cache.count = 1;
            entries[0].code_line = code_line;
            entries[0].code_object = code_object;
            Py_INCREF(code_object);
        }
        return;
    }
    pos = __pyx_bisect_code_objects(__pyx_code_cache.entries, __pyx_code_cache.count, code_line);
    if ((pos < __pyx_code_cache.count) && unlikely(__pyx_code_cache.entries[pos].code_line == code_line)) {
        PyCodeObject* tmp = entries[pos].code_object;
        entries[pos].code_object = code_object;
        Py_DECREF(tmp);
        return;
    }
    if (__pyx_code_cache.count == __pyx_code_cache.max_count) {
        int new_max = __pyx_code_cache.max_count + 64;
        entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Realloc(
            __pyx_code_cache.entries, (size_t)new_max*sizeof(__Pyx_CodeObjectCacheEntry));
        if (unlikely(!entries)) {
            return;
        }
        __pyx_code_cache.entries = entries;
        __pyx_code_cache.max_count = new_max;
    }
    for (i=__pyx_code_cache.count; i>pos; i--) {
        entries[i] = entries[i-1];
    }
    entries[pos].code_line = code_line;
    entries[pos].code_object = code_object;
    __pyx_code_cache.count++;
    Py_INCREF(code_object);
}
 
/* AddTraceback */
#include "compile.h"
#include "frameobject.h"
#include "traceback.h"
static PyCodeObject* __Pyx_CreateCodeObjectForTraceback(
            const char *funcname, int c_line,
            int py_line, const char *filename) {
    PyCodeObject *py_code = 0;
    PyObject *py_srcfile = 0;
    PyObject *py_funcname = 0;
    #if PY_MAJOR_VERSION < 3
    py_srcfile = PyString_FromString(filename);
    #else
    py_srcfile = PyUnicode_FromString(filename);
    #endif
    if (!py_srcfile) goto bad;
    if (c_line) {
        #if PY_MAJOR_VERSION < 3
        py_funcname = PyString_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);
        #else
        py_funcname = PyUnicode_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);
        #endif
    }
    else {
        #if PY_MAJOR_VERSION < 3
        py_funcname = PyString_FromString(funcname);
        #else
        py_funcname = PyUnicode_FromString(funcname);
        #endif
    }
    if (!py_funcname) goto bad;
    py_code = __Pyx_PyCode_New(
        0,
        0,
        0,
        0,
        0,
        __pyx_empty_bytes, /*PyObject *code,*/
        __pyx_empty_tuple, /*PyObject *consts,*/
        __pyx_empty_tuple, /*PyObject *names,*/
        __pyx_empty_tuple, /*PyObject *varnames,*/
        __pyx_empty_tuple, /*PyObject *freevars,*/
        __pyx_empty_tuple, /*PyObject *cellvars,*/
        py_srcfile,   /*PyObject *filename,*/
        py_funcname,  /*PyObject *name,*/
        py_line,
        __pyx_empty_bytes  /*PyObject *lnotab*/
    );
    Py_DECREF(py_srcfile);
    Py_DECREF(py_funcname);
    return py_code;
bad:
    Py_XDECREF(py_srcfile);
    Py_XDECREF(py_funcname);
    return NULL;
}
static void __Pyx_AddTraceback(const char *funcname, int c_line,
                               int py_line, const char *filename) {
    PyCodeObject *py_code = 0;
    PyFrameObject *py_frame = 0;
    PyThreadState *tstate = __Pyx_PyThreadState_Current;
    if (c_line) {
        c_line = __Pyx_CLineForTraceback(tstate, c_line);
    }
    py_code = __pyx_find_code_object(c_line ? -c_line : py_line);
    if (!py_code) {
        py_code = __Pyx_CreateCodeObjectForTraceback(
            funcname, c_line, py_line, filename);
        if (!py_code) goto bad;
        __pyx_insert_code_object(c_line ? -c_line : py_line, py_code);
    }
    py_frame = PyFrame_New(
        tstate,            /*PyThreadState *tstate,*/
        py_code,           /*PyCodeObject *code,*/
        __pyx_d,    /*PyObject *globals,*/
        0                  /*PyObject *locals*/
    );
    if (!py_frame) goto bad;
    __Pyx_PyFrame_SetLineNumber(py_frame, py_line);
    PyTraceBack_Here(py_frame);
bad:
    Py_XDECREF(py_code);
    Py_XDECREF(py_frame);
}
 
/* CIntFromPyVerify */
#define __PYX_VERIFY_RETURN_INT(target_type, func_type, func_value)\
    __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, 0)
#define __PYX_VERIFY_RETURN_INT_EXC(target_type, func_type, func_value)\
    __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, 1)
#define __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, exc)\
    {\
        func_type value = func_value;\
        if (sizeof(target_type) < sizeof(func_type)) {\
            if (unlikely(value != (func_type) (target_type) value)) {\
                func_type zero = 0;\
                if (exc && unlikely(value == (func_type)-1 && PyErr_Occurred()))\
                    return (target_type) -1;\
                if (is_unsigned && unlikely(value < zero))\
                    goto raise_neg_overflow;\
                else\
                    goto raise_overflow;\
            }\
        }\
        return (target_type) value;\
    }
 
/* CIntToPy */
static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(long value) {
    const long neg_one = (long) ((long) 0 - (long) 1), const_zero = (long) 0;
    const int is_unsigned = neg_one > const_zero;
    if (is_unsigned) {
        if (sizeof(long) < sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(long) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(long) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
#endif
        }
    } else {
        if (sizeof(long) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(long) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
#endif
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
        return _PyLong_FromByteArray(bytes, sizeof(long),
                                     little, !is_unsigned);
    }
}
 
/* Declarations */
#if CYTHON_CCOMPLEX
  #ifdef __cplusplus
    static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) {
      return ::std::complex< float >(x, y);
    }
  #else
    static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) {
      return x + y*(__pyx_t_float_complex)_Complex_I;
    }
  #endif
#else
    static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) {
      __pyx_t_float_complex z;
      z.real = x;
      z.imag = y;
      return z;
    }
#endif
 
/* Arithmetic */
#if CYTHON_CCOMPLEX
#else
    static CYTHON_INLINE int __Pyx_c_eq_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
       return (a.real == b.real) && (a.imag == b.imag);
    }
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_sum_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
        __pyx_t_float_complex z;
        z.real = a.real + b.real;
        z.imag = a.imag + b.imag;
        return z;
    }
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_diff_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
        __pyx_t_float_complex z;
        z.real = a.real - b.real;
        z.imag = a.imag - b.imag;
        return z;
    }
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_prod_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
        __pyx_t_float_complex z;
        z.real = a.real * b.real - a.imag * b.imag;
        z.imag = a.real * b.imag + a.imag * b.real;
        return z;
    }
    #if 1
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quot_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
        if (b.imag == 0) {
            return __pyx_t_float_complex_from_parts(a.real / b.real, a.imag / b.real);
        } else if (fabsf(b.real) >= fabsf(b.imag)) {
            if (b.real == 0 && b.imag == 0) {
                return __pyx_t_float_complex_from_parts(a.real / b.real, a.imag / b.imag);
            } else {
                float r = b.imag / b.real;
                float s = 1.0 / (b.real + b.imag * r);
                return __pyx_t_float_complex_from_parts(
                    (a.real + a.imag * r) * s, (a.imag - a.real * r) * s);
            }
        } else {
            float r = b.real / b.imag;
            float s = 1.0 / (b.imag + b.real * r);
            return __pyx_t_float_complex_from_parts(
                (a.real * r + a.imag) * s, (a.imag * r - a.real) * s);
        }
    }
    #else
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quot_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
        if (b.imag == 0) {
            return __pyx_t_float_complex_from_parts(a.real / b.real, a.imag / b.real);
        } else {
            float denom = b.real * b.real + b.imag * b.imag;
            return __pyx_t_float_complex_from_parts(
                (a.real * b.real + a.imag * b.imag) / denom,
                (a.imag * b.real - a.real * b.imag) / denom);
        }
    }
    #endif
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_neg_float(__pyx_t_float_complex a) {
        __pyx_t_float_complex z;
        z.real = -a.real;
        z.imag = -a.imag;
        return z;
    }
    static CYTHON_INLINE int __Pyx_c_is_zero_float(__pyx_t_float_complex a) {
       return (a.real == 0) && (a.imag == 0);
    }
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_conj_float(__pyx_t_float_complex a) {
        __pyx_t_float_complex z;
        z.real =  a.real;
        z.imag = -a.imag;
        return z;
    }
    #if 1
        static CYTHON_INLINE float __Pyx_c_abs_float(__pyx_t_float_complex z) {
          #if !defined(HAVE_HYPOT) || defined(_MSC_VER)
            return sqrtf(z.real*z.real + z.imag*z.imag);
          #else
            return hypotf(z.real, z.imag);
          #endif
        }
        static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_pow_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
            __pyx_t_float_complex z;
            float r, lnr, theta, z_r, z_theta;
            if (b.imag == 0 && b.real == (int)b.real) {
                if (b.real < 0) {
                    float denom = a.real * a.real + a.imag * a.imag;
                    a.real = a.real / denom;
                    a.imag = -a.imag / denom;
                    b.real = -b.real;
                }
                switch ((int)b.real) {
                    case 0:
                        z.real = 1;
                        z.imag = 0;
                        return z;
                    case 1:
                        return a;
                    case 2:
                        z = __Pyx_c_prod_float(a, a);
                        return __Pyx_c_prod_float(a, a);
                    case 3:
                        z = __Pyx_c_prod_float(a, a);
                        return __Pyx_c_prod_float(z, a);
                    case 4:
                        z = __Pyx_c_prod_float(a, a);
                        return __Pyx_c_prod_float(z, z);
                }
            }
            if (a.imag == 0) {
                if (a.real == 0) {
                    return a;
                } else if (b.imag == 0) {
                    z.real = powf(a.real, b.real);
                    z.imag = 0;
                    return z;
                } else if (a.real > 0) {
                    r = a.real;
                    theta = 0;
                } else {
                    r = -a.real;
                    theta = atan2f(0, -1);
                }
            } else {
                r = __Pyx_c_abs_float(a);
                theta = atan2f(a.imag, a.real);
            }
            lnr = logf(r);
            z_r = expf(lnr * b.real - theta * b.imag);
            z_theta = theta * b.real + lnr * b.imag;
            z.real = z_r * cosf(z_theta);
            z.imag = z_r * sinf(z_theta);
            return z;
        }
    #endif
#endif
 
/* Declarations */
#if CYTHON_CCOMPLEX
  #ifdef __cplusplus
    static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) {
      return ::std::complex< double >(x, y);
    }
  #else
    static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) {
      return x + y*(__pyx_t_double_complex)_Complex_I;
    }
  #endif
#else
    static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) {
      __pyx_t_double_complex z;
      z.real = x;
      z.imag = y;
      return z;
    }
#endif
 
/* Arithmetic */
#if CYTHON_CCOMPLEX
#else
    static CYTHON_INLINE int __Pyx_c_eq_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
       return (a.real == b.real) && (a.imag == b.imag);
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_sum_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        __pyx_t_double_complex z;
        z.real = a.real + b.real;
        z.imag = a.imag + b.imag;
        return z;
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_diff_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        __pyx_t_double_complex z;
        z.real = a.real - b.real;
        z.imag = a.imag - b.imag;
        return z;
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_prod_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        __pyx_t_double_complex z;
        z.real = a.real * b.real - a.imag * b.imag;
        z.imag = a.real * b.imag + a.imag * b.real;
        return z;
    }
    #if 1
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        if (b.imag == 0) {
            return __pyx_t_double_complex_from_parts(a.real / b.real, a.imag / b.real);
        } else if (fabs(b.real) >= fabs(b.imag)) {
            if (b.real == 0 && b.imag == 0) {
                return __pyx_t_double_complex_from_parts(a.real / b.real, a.imag / b.imag);
            } else {
                double r = b.imag / b.real;
                double s = 1.0 / (b.real + b.imag * r);
                return __pyx_t_double_complex_from_parts(
                    (a.real + a.imag * r) * s, (a.imag - a.real * r) * s);
            }
        } else {
            double r = b.real / b.imag;
            double s = 1.0 / (b.imag + b.real * r);
            return __pyx_t_double_complex_from_parts(
                (a.real * r + a.imag) * s, (a.imag * r - a.real) * s);
        }
    }
    #else
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        if (b.imag == 0) {
            return __pyx_t_double_complex_from_parts(a.real / b.real, a.imag / b.real);
        } else {
            double denom = b.real * b.real + b.imag * b.imag;
            return __pyx_t_double_complex_from_parts(
                (a.real * b.real + a.imag * b.imag) / denom,
                (a.imag * b.real - a.real * b.imag) / denom);
        }
    }
    #endif
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_neg_double(__pyx_t_double_complex a) {
        __pyx_t_double_complex z;
        z.real = -a.real;
        z.imag = -a.imag;
        return z;
    }
    static CYTHON_INLINE int __Pyx_c_is_zero_double(__pyx_t_double_complex a) {
       return (a.real == 0) && (a.imag == 0);
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_conj_double(__pyx_t_double_complex a) {
        __pyx_t_double_complex z;
        z.real =  a.real;
        z.imag = -a.imag;
        return z;
    }
    #if 1
        static CYTHON_INLINE double __Pyx_c_abs_double(__pyx_t_double_complex z) {
          #if !defined(HAVE_HYPOT) || defined(_MSC_VER)
            return sqrt(z.real*z.real + z.imag*z.imag);
          #else
            return hypot(z.real, z.imag);
          #endif
        }
        static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_pow_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
            __pyx_t_double_complex z;
            double r, lnr, theta, z_r, z_theta;
            if (b.imag == 0 && b.real == (int)b.real) {
                if (b.real < 0) {
                    double denom = a.real * a.real + a.imag * a.imag;
                    a.real = a.real / denom;
                    a.imag = -a.imag / denom;
                    b.real = -b.real;
                }
                switch ((int)b.real) {
                    case 0:
                        z.real = 1;
                        z.imag = 0;
                        return z;
                    case 1:
                        return a;
                    case 2:
                        z = __Pyx_c_prod_double(a, a);
                        return __Pyx_c_prod_double(a, a);
                    case 3:
                        z = __Pyx_c_prod_double(a, a);
                        return __Pyx_c_prod_double(z, a);
                    case 4:
                        z = __Pyx_c_prod_double(a, a);
                        return __Pyx_c_prod_double(z, z);
                }
            }
            if (a.imag == 0) {
                if (a.real == 0) {
                    return a;
                } else if (b.imag == 0) {
                    z.real = pow(a.real, b.real);
                    z.imag = 0;
                    return z;
                } else if (a.real > 0) {
                    r = a.real;
                    theta = 0;
                } else {
                    r = -a.real;
                    theta = atan2(0, -1);
                }
            } else {
                r = __Pyx_c_abs_double(a);
                theta = atan2(a.imag, a.real);
            }
            lnr = log(r);
            z_r = exp(lnr * b.real - theta * b.imag);
            z_theta = theta * b.real + lnr * b.imag;
            z.real = z_r * cos(z_theta);
            z.imag = z_r * sin(z_theta);
            return z;
        }
    #endif
#endif
 
/* CIntToPy */
static CYTHON_INLINE PyObject* __Pyx_PyInt_From_int(int value) {
    const int neg_one = (int) ((int) 0 - (int) 1), const_zero = (int) 0;
    const int is_unsigned = neg_one > const_zero;
    if (is_unsigned) {
        if (sizeof(int) < sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(int) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(int) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
#endif
        }
    } else {
        if (sizeof(int) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(int) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
#endif
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
        return _PyLong_FromByteArray(bytes, sizeof(int),
                                     little, !is_unsigned);
    }
}
 
/* CIntToPy */
static CYTHON_INLINE PyObject* __Pyx_PyInt_From_enum__NPY_TYPES(enum NPY_TYPES value) {
    const enum NPY_TYPES neg_one = (enum NPY_TYPES) ((enum NPY_TYPES) 0 - (enum NPY_TYPES) 1), const_zero = (enum NPY_TYPES) 0;
    const int is_unsigned = neg_one > const_zero;
    if (is_unsigned) {
        if (sizeof(enum NPY_TYPES) < sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(enum NPY_TYPES) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(enum NPY_TYPES) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
#endif
        }
    } else {
        if (sizeof(enum NPY_TYPES) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(enum NPY_TYPES) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
#endif
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
        return _PyLong_FromByteArray(bytes, sizeof(enum NPY_TYPES),
                                     little, !is_unsigned);
    }
}
 
/* CIntFromPy */
static CYTHON_INLINE int __Pyx_PyInt_As_int(PyObject *x) {
    const int neg_one = (int) ((int) 0 - (int) 1), const_zero = (int) 0;
    const int is_unsigned = neg_one > const_zero;
#if PY_MAJOR_VERSION < 3
    if (likely(PyInt_Check(x))) {
        if (sizeof(int) < sizeof(long)) {
            __PYX_VERIFY_RETURN_INT(int, long, PyInt_AS_LONG(x))
        } else {
            long val = PyInt_AS_LONG(x);
            if (is_unsigned && unlikely(val < 0)) {
                goto raise_neg_overflow;
            }
            return (int) val;
        }
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (int) 0;
                case  1: __PYX_VERIFY_RETURN_INT(int, digit, digits[0])
                case 2:
                    if (8 * sizeof(int) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int) >= 2 * PyLong_SHIFT) {
                            return (int) (((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0]));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(int) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int) >= 3 * PyLong_SHIFT) {
                            return (int) (((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0]));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(int) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int) >= 4 * PyLong_SHIFT) {
                            return (int) (((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0]));
                        }
                    }
                    break;
            }
#endif
#if CYTHON_COMPILING_IN_CPYTHON
            if (unlikely(Py_SIZE(x) < 0)) {
                goto raise_neg_overflow;
            }
#else
            {
                int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
                if (unlikely(result < 0))
                    return (int) -1;
                if (unlikely(result == 1))
                    goto raise_neg_overflow;
            }
#endif
            if (sizeof(int) <= sizeof(unsigned long)) {
                __PYX_VERIFY_RETURN_INT_EXC(int, unsigned long, PyLong_AsUnsignedLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(int) <= sizeof(unsigned PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(int, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
#endif
            }
        } else {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (int) 0;
                case -1: __PYX_VERIFY_RETURN_INT(int, sdigit, (sdigit) (-(sdigit)digits[0]))
                case  1: __PYX_VERIFY_RETURN_INT(int,  digit, +digits[0])
                case -2:
                    if (8 * sizeof(int) - 1 > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int) - 1 > 2 * PyLong_SHIFT) {
                            return (int) (((int)-1)*(((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                        }
                    }
                    break;
                case 2:
                    if (8 * sizeof(int) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int) - 1 > 2 * PyLong_SHIFT) {
                            return (int) ((((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                        }
                    }
                    break;
                case -3:
                    if (8 * sizeof(int) - 1 > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int) - 1 > 3 * PyLong_SHIFT) {
                            return (int) (((int)-1)*(((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(int) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int) - 1 > 3 * PyLong_SHIFT) {
                            return (int) ((((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                        }
                    }
                    break;
                case -4:
                    if (8 * sizeof(int) - 1 > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int) - 1 > 4 * PyLong_SHIFT) {
                            return (int) (((int)-1)*(((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(int) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int) - 1 > 4 * PyLong_SHIFT) {
                            return (int) ((((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                        }
                    }
                    break;
            }
#endif
            if (sizeof(int) <= sizeof(long)) {
                __PYX_VERIFY_RETURN_INT_EXC(int, long, PyLong_AsLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(int) <= sizeof(PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(int, PY_LONG_LONG, PyLong_AsLongLong(x))
#endif
            }
        }
        {
#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
            PyErr_SetString(PyExc_RuntimeError,
                            "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
#else
            int val;
            PyObject *v = __Pyx_PyNumber_IntOrLong(x);
 #if PY_MAJOR_VERSION < 3
            if (likely(v) && !PyLong_Check(v)) {
                PyObject *tmp = v;
                v = PyNumber_Long(tmp);
                Py_DECREF(tmp);
            }
 #endif
            if (likely(v)) {
                int one = 1; int is_little = (int)*(unsigned char *)&one;
                unsigned char *bytes = (unsigned char *)&val;
                int ret = _PyLong_AsByteArray((PyLongObject *)v,
                                              bytes, sizeof(val),
                                              is_little, !is_unsigned);
                Py_DECREF(v);
                if (likely(!ret))
                    return val;
            }
#endif
            return (int) -1;
        }
    } else {
        int val;
        PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
        if (!tmp) return (int) -1;
        val = __Pyx_PyInt_As_int(tmp);
        Py_DECREF(tmp);
        return val;
    }
raise_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "value too large to convert to int");
    return (int) -1;
raise_neg_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "can't convert negative value to int");
    return (int) -1;
}
 
/* CIntFromPy */
static CYTHON_INLINE long __Pyx_PyInt_As_long(PyObject *x) {
    const long neg_one = (long) ((long) 0 - (long) 1), const_zero = (long) 0;
    const int is_unsigned = neg_one > const_zero;
#if PY_MAJOR_VERSION < 3
    if (likely(PyInt_Check(x))) {
        if (sizeof(long) < sizeof(long)) {
            __PYX_VERIFY_RETURN_INT(long, long, PyInt_AS_LONG(x))
        } else {
            long val = PyInt_AS_LONG(x);
            if (is_unsigned && unlikely(val < 0)) {
                goto raise_neg_overflow;
            }
            return (long) val;
        }
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (long) 0;
                case  1: __PYX_VERIFY_RETURN_INT(long, digit, digits[0])
                case 2:
                    if (8 * sizeof(long) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(long) >= 2 * PyLong_SHIFT) {
                            return (long) (((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0]));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(long) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(long) >= 3 * PyLong_SHIFT) {
                            return (long) (((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0]));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(long) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(long) >= 4 * PyLong_SHIFT) {
                            return (long) (((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0]));
                        }
                    }
                    break;
            }
#endif
#if CYTHON_COMPILING_IN_CPYTHON
            if (unlikely(Py_SIZE(x) < 0)) {
                goto raise_neg_overflow;
            }
#else
            {
                int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
                if (unlikely(result < 0))
                    return (long) -1;
                if (unlikely(result == 1))
                    goto raise_neg_overflow;
            }
#endif
            if (sizeof(long) <= sizeof(unsigned long)) {
                __PYX_VERIFY_RETURN_INT_EXC(long, unsigned long, PyLong_AsUnsignedLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(long) <= sizeof(unsigned PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(long, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
#endif
            }
        } else {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (long) 0;
                case -1: __PYX_VERIFY_RETURN_INT(long, sdigit, (sdigit) (-(sdigit)digits[0]))
                case  1: __PYX_VERIFY_RETURN_INT(long,  digit, +digits[0])
                case -2:
                    if (8 * sizeof(long) - 1 > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                            return (long) (((long)-1)*(((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                        }
                    }
                    break;
                case 2:
                    if (8 * sizeof(long) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                            return (long) ((((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                        }
                    }
                    break;
                case -3:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                            return (long) (((long)-1)*(((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(long) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                            return (long) ((((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                        }
                    }
                    break;
                case -4:
                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                            return (long) (((long)-1)*(((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(long) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                            return (long) ((((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                        }
                    }
                    break;
            }
#endif
            if (sizeof(long) <= sizeof(long)) {
                __PYX_VERIFY_RETURN_INT_EXC(long, long, PyLong_AsLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(long) <= sizeof(PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(long, PY_LONG_LONG, PyLong_AsLongLong(x))
#endif
            }
        }
        {
#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
            PyErr_SetString(PyExc_RuntimeError,
                            "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
#else
            long val;
            PyObject *v = __Pyx_PyNumber_IntOrLong(x);
 #if PY_MAJOR_VERSION < 3
            if (likely(v) && !PyLong_Check(v)) {
                PyObject *tmp = v;
                v = PyNumber_Long(tmp);
                Py_DECREF(tmp);
            }
 #endif
            if (likely(v)) {
                int one = 1; int is_little = (int)*(unsigned char *)&one;
                unsigned char *bytes = (unsigned char *)&val;
                int ret = _PyLong_AsByteArray((PyLongObject *)v,
                                              bytes, sizeof(val),
                                              is_little, !is_unsigned);
                Py_DECREF(v);
                if (likely(!ret))
                    return val;
            }
#endif
            return (long) -1;
        }
    } else {
        long val;
        PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
        if (!tmp) return (long) -1;
        val = __Pyx_PyInt_As_long(tmp);
        Py_DECREF(tmp);
        return val;
    }
raise_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "value too large to convert to long");
    return (long) -1;
raise_neg_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "can't convert negative value to long");
    return (long) -1;
}
 
/* FastTypeChecks */
#if CYTHON_COMPILING_IN_CPYTHON
static int __Pyx_InBases(PyTypeObject *a, PyTypeObject *b) {
    while (a) {
        a = a->tp_base;
        if (a == b)
            return 1;
    }
    return b == &PyBaseObject_Type;
}
static CYTHON_INLINE int __Pyx_IsSubtype(PyTypeObject *a, PyTypeObject *b) {
    PyObject *mro;
    if (a == b) return 1;
    mro = a->tp_mro;
    if (likely(mro)) {
        Py_ssize_t i, n;
        n = PyTuple_GET_SIZE(mro);
        for (i = 0; i < n; i++) {
            if (PyTuple_GET_ITEM(mro, i) == (PyObject *)b)
                return 1;
        }
        return 0;
    }
    return __Pyx_InBases(a, b);
}
#if PY_MAJOR_VERSION == 2
static int __Pyx_inner_PyErr_GivenExceptionMatches2(PyObject *err, PyObject* exc_type1, PyObject* exc_type2) {
    PyObject *exception, *value, *tb;
    int res;
    __Pyx_PyThreadState_declare
    __Pyx_PyThreadState_assign
    __Pyx_ErrFetch(&exception, &value, &tb);
    res = exc_type1 ? PyObject_IsSubclass(err, exc_type1) : 0;
    if (unlikely(res == -1)) {
        PyErr_WriteUnraisable(err);
        res = 0;
    }
    if (!res) {
        res = PyObject_IsSubclass(err, exc_type2);
        if (unlikely(res == -1)) {
            PyErr_WriteUnraisable(err);
            res = 0;
        }
    }
    __Pyx_ErrRestore(exception, value, tb);
    return res;
}
#else
static CYTHON_INLINE int __Pyx_inner_PyErr_GivenExceptionMatches2(PyObject *err, PyObject* exc_type1, PyObject *exc_type2) {
    int res = exc_type1 ? __Pyx_IsSubtype((PyTypeObject*)err, (PyTypeObject*)exc_type1) : 0;
    if (!res) {
        res = __Pyx_IsSubtype((PyTypeObject*)err, (PyTypeObject*)exc_type2);
    }
    return res;
}
#endif
static int __Pyx_PyErr_GivenExceptionMatchesTuple(PyObject *exc_type, PyObject *tuple) {
    Py_ssize_t i, n;
    assert(PyExceptionClass_Check(exc_type));
    n = PyTuple_GET_SIZE(tuple);
#if PY_MAJOR_VERSION >= 3
    for (i=0; i<n; i++) {
        if (exc_type == PyTuple_GET_ITEM(tuple, i)) return 1;
    }
#endif
    for (i=0; i<n; i++) {
        PyObject *t = PyTuple_GET_ITEM(tuple, i);
        #if PY_MAJOR_VERSION < 3
        if (likely(exc_type == t)) return 1;
        #endif
        if (likely(PyExceptionClass_Check(t))) {
            if (__Pyx_inner_PyErr_GivenExceptionMatches2(exc_type, NULL, t)) return 1;
        } else {
        }
    }
    return 0;
}
static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches(PyObject *err, PyObject* exc_type) {
    if (likely(err == exc_type)) return 1;
    if (likely(PyExceptionClass_Check(err))) {
        if (likely(PyExceptionClass_Check(exc_type))) {
            return __Pyx_inner_PyErr_GivenExceptionMatches2(err, NULL, exc_type);
        } else if (likely(PyTuple_Check(exc_type))) {
            return __Pyx_PyErr_GivenExceptionMatchesTuple(err, exc_type);
        } else {
        }
    }
    return PyErr_GivenExceptionMatches(err, exc_type);
}
static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches2(PyObject *err, PyObject *exc_type1, PyObject *exc_type2) {
    assert(PyExceptionClass_Check(exc_type1));
    assert(PyExceptionClass_Check(exc_type2));
    if (likely(err == exc_type1 || err == exc_type2)) return 1;
    if (likely(PyExceptionClass_Check(err))) {
        return __Pyx_inner_PyErr_GivenExceptionMatches2(err, exc_type1, exc_type2);
    }
    return (PyErr_GivenExceptionMatches(err, exc_type1) || PyErr_GivenExceptionMatches(err, exc_type2));
}
#endif
 
/* CheckBinaryVersion */
static int __Pyx_check_binary_version(void) {
    char ctversion[4], rtversion[4];
    PyOS_snprintf(ctversion, 4, "%d.%d", PY_MAJOR_VERSION, PY_MINOR_VERSION);
    PyOS_snprintf(rtversion, 4, "%s", Py_GetVersion());
    if (ctversion[0] != rtversion[0] || ctversion[2] != rtversion[2]) {
        char message[200];
        PyOS_snprintf(message, sizeof(message),
                      "compiletime version %s of module '%.100s' "
                      "does not match runtime version %s",
                      ctversion, __Pyx_MODULE_NAME, rtversion);
        return PyErr_WarnEx(NULL, message, 1);
    }
    return 0;
}
 
/* InitStrings */
static int __Pyx_InitStrings(__Pyx_StringTabEntry *t) {
    while (t->p) {
        #if PY_MAJOR_VERSION < 3
        if (t->is_unicode) {
            *t->p = PyUnicode_DecodeUTF8(t->s, t->n - 1, NULL);
        } else if (t->intern) {
            *t->p = PyString_InternFromString(t->s);
        } else {
            *t->p = PyString_FromStringAndSize(t->s, t->n - 1);
        }
        #else
        if (t->is_unicode | t->is_str) {
            if (t->intern) {
                *t->p = PyUnicode_InternFromString(t->s);
            } else if (t->encoding) {
                *t->p = PyUnicode_Decode(t->s, t->n - 1, t->encoding, NULL);
            } else {
                *t->p = PyUnicode_FromStringAndSize(t->s, t->n - 1);
            }
        } else {
            *t->p = PyBytes_FromStringAndSize(t->s, t->n - 1);
        }
        #endif
        if (!*t->p)
            return -1;
        if (PyObject_Hash(*t->p) == -1)
            return -1;
        ++t;
    }
    return 0;
}
 
static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(const char* c_str) {
    return __Pyx_PyUnicode_FromStringAndSize(c_str, (Py_ssize_t)strlen(c_str));
}
static CYTHON_INLINE const char* __Pyx_PyObject_AsString(PyObject* o) {
    Py_ssize_t ignore;
    return __Pyx_PyObject_AsStringAndSize(o, &ignore);
}
#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII || __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT
#if !CYTHON_PEP393_ENABLED
static const char* __Pyx_PyUnicode_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
    char* defenc_c;
    PyObject* defenc = _PyUnicode_AsDefaultEncodedString(o, NULL);
    if (!defenc) return NULL;
    defenc_c = PyBytes_AS_STRING(defenc);
#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
    {
        char* end = defenc_c + PyBytes_GET_SIZE(defenc);
        char* c;
        for (c = defenc_c; c < end; c++) {
            if ((unsigned char) (*c) >= 128) {
                PyUnicode_AsASCIIString(o);
                return NULL;
            }
        }
    }
#endif
    *length = PyBytes_GET_SIZE(defenc);
    return defenc_c;
}
#else
static CYTHON_INLINE const char* __Pyx_PyUnicode_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
    if (unlikely(__Pyx_PyUnicode_READY(o) == -1)) return NULL;
#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
    if (likely(PyUnicode_IS_ASCII(o))) {
        *length = PyUnicode_GET_LENGTH(o);
        return PyUnicode_AsUTF8(o);
    } else {
        PyUnicode_AsASCIIString(o);
        return NULL;
    }
#else
    return PyUnicode_AsUTF8AndSize(o, length);
#endif
}
#endif
#endif
static CYTHON_INLINE const char* __Pyx_PyObject_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII || __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT
    if (
#if PY_MAJOR_VERSION < 3 && __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
            __Pyx_sys_getdefaultencoding_not_ascii &&
#endif
            PyUnicode_Check(o)) {
        return __Pyx_PyUnicode_AsStringAndSize(o, length);
    } else
#endif
#if (!CYTHON_COMPILING_IN_PYPY) || (defined(PyByteArray_AS_STRING) && defined(PyByteArray_GET_SIZE))
    if (PyByteArray_Check(o)) {
        *length = PyByteArray_GET_SIZE(o);
        return PyByteArray_AS_STRING(o);
    } else
#endif
    {
        char* result;
        int r = PyBytes_AsStringAndSize(o, &result, length);
        if (unlikely(r < 0)) {
            return NULL;
        } else {
            return result;
        }
    }
}
static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject* x) {
   int is_true = x == Py_True;
   if (is_true | (x == Py_False) | (x == Py_None)) return is_true;
   else return PyObject_IsTrue(x);
}
static CYTHON_INLINE int __Pyx_PyObject_IsTrueAndDecref(PyObject* x) {
    int retval;
    if (unlikely(!x)) return -1;
    retval = __Pyx_PyObject_IsTrue(x);
    Py_DECREF(x);
    return retval;
}
static PyObject* __Pyx_PyNumber_IntOrLongWrongResultType(PyObject* result, const char* type_name) {
#if PY_MAJOR_VERSION >= 3
    if (PyLong_Check(result)) {
        if (PyErr_WarnFormat(PyExc_DeprecationWarning, 1,
                "__int__ returned non-int (type %.200s).  "
                "The ability to return an instance of a strict subclass of int "
                "is deprecated, and may be removed in a future version of Python.",
                Py_TYPE(result)->tp_name)) {
            Py_DECREF(result);
            return NULL;
        }
        return result;
    }
#endif
    PyErr_Format(PyExc_TypeError,
                 "__%.4s__ returned non-%.4s (type %.200s)",
                 type_name, type_name, Py_TYPE(result)->tp_name);
    Py_DECREF(result);
    return NULL;
}
static CYTHON_INLINE PyObject* __Pyx_PyNumber_IntOrLong(PyObject* x) {
#if CYTHON_USE_TYPE_SLOTS
  PyNumberMethods *m;
#endif
  const char *name = NULL;
  PyObject *res = NULL;
#if PY_MAJOR_VERSION < 3
  if (likely(PyInt_Check(x) || PyLong_Check(x)))
#else
  if (likely(PyLong_Check(x)))
#endif
    return __Pyx_NewRef(x);
#if CYTHON_USE_TYPE_SLOTS
  m = Py_TYPE(x)->tp_as_number;
  #if PY_MAJOR_VERSION < 3
  if (m && m->nb_int) {
    name = "int";
    res = m->nb_int(x);
  }
  else if (m && m->nb_long) {
    name = "long";
    res = m->nb_long(x);
  }
  #else
  if (likely(m && m->nb_int)) {
    name = "int";
    res = m->nb_int(x);
  }
  #endif
#else
  if (!PyBytes_CheckExact(x) && !PyUnicode_CheckExact(x)) {
    res = PyNumber_Int(x);
  }
#endif
  if (likely(res)) {
#if PY_MAJOR_VERSION < 3
    if (unlikely(!PyInt_Check(res) && !PyLong_Check(res))) {
#else
    if (unlikely(!PyLong_CheckExact(res))) {
#endif
        return __Pyx_PyNumber_IntOrLongWrongResultType(res, name);
    }
  }
  else if (!PyErr_Occurred()) {
    PyErr_SetString(PyExc_TypeError,
                    "an integer is required");
  }
  return res;
}
static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject* b) {
  Py_ssize_t ival;
  PyObject *x;
#if PY_MAJOR_VERSION < 3
  if (likely(PyInt_CheckExact(b))) {
    if (sizeof(Py_ssize_t) >= sizeof(long))
        return PyInt_AS_LONG(b);
    else
        return PyInt_AsSsize_t(b);
  }
#endif
  if (likely(PyLong_CheckExact(b))) {
    #if CYTHON_USE_PYLONG_INTERNALS
    const digit* digits = ((PyLongObject*)b)->ob_digit;
    const Py_ssize_t size = Py_SIZE(b);
    if (likely(__Pyx_sst_abs(size) <= 1)) {
        ival = likely(size) ? digits[0] : 0;
        if (size == -1) ival = -ival;
        return ival;
    } else {
      switch (size) {
         case 2:
           if (8 * sizeof(Py_ssize_t) > 2 * PyLong_SHIFT) {
             return (Py_ssize_t) (((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case -2:
           if (8 * sizeof(Py_ssize_t) > 2 * PyLong_SHIFT) {
             return -(Py_ssize_t) (((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case 3:
           if (8 * sizeof(Py_ssize_t) > 3 * PyLong_SHIFT) {
             return (Py_ssize_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case -3:
           if (8 * sizeof(Py_ssize_t) > 3 * PyLong_SHIFT) {
             return -(Py_ssize_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case 4:
           if (8 * sizeof(Py_ssize_t) > 4 * PyLong_SHIFT) {
             return (Py_ssize_t) (((((((((size_t)digits[3]) << PyLong_SHIFT) | (size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case -4:
           if (8 * sizeof(Py_ssize_t) > 4 * PyLong_SHIFT) {
             return -(Py_ssize_t) (((((((((size_t)digits[3]) << PyLong_SHIFT) | (size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
      }
    }
    #endif
    return PyLong_AsSsize_t(b);
  }
  x = PyNumber_Index(b);
  if (!x) return -1;
  ival = PyInt_AsSsize_t(x);
  Py_DECREF(x);
  return ival;
}
static CYTHON_INLINE PyObject * __Pyx_PyBool_FromLong(long b) {
  return b ? __Pyx_NewRef(Py_True) : __Pyx_NewRef(Py_False);
}
static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t ival) {
    return PyInt_FromSize_t(ival);
}
 
 
#endif /* Py_PYTHON_H */